Publications
- Youssef Abdelaziz, Salah Boukraa, Christoph Koutschan, Jean-Marie Maillard: Diagonals of rational functions, pullbacked 2F1 hypergeometric functions and modular forms. Journal of Physics A: Mathematical and Theoretical, 51(45):455201, 2018.
- Youssef Abdelaziz, Salah Boukraa, Christoph Koutschan, Jean-Marie Maillard: Heun functions and diagonals of rational functions. Journal of Physics A: Mathematical and Theoretical, 53(7):075206, 2020.
- Youssef Abdelaziz, Salah Boukraa, Christoph Koutschan, Jean-Marie Maillard: Diagonals of rational functions: from differential algebra to effective algebraic geometry. Technical Report 2020-13, RICAM Reports Series, 2020. preprint
- Youssef Abdelaziz, Christoph Koutschan, Jean-Marie Maillard: On Christol’s conjecture. Journal of Physics A: Mathematical and Theoretical, 53(20):205201, 2020.
- Jakob Ablinger, Arnd Behring, Johannes Blümlein, Abilio De Freitas, Alexander Hasselhuhn, Andreas von Manteuffel, Mark Round, Carsten Schneider, Fabian Wißbrock: The 3-Loop Non-Singlet Heavy Flavor Contributions and Anomalous Dimensions for thE Structure Function \boldmath $F_2(x, Q^2)$ and Transversity. Nuclear Physics B 886, pp. 733-823. 2014. ISSN: 0550-3213. arXiv:1406.4654 [hep-ph].
- Jakob Ablinger, Arnd Behring, Johannes Blümlein, Abilio De Freitas, Alexander Hasselhuhn, Andreas von Manteuffel, Mark Round, Carsten Schneider, Fabian Wißbrock: Heavy flavour corrections to polarised and unpolarised deep-inelastic scattering at 3-loop order. In: Proceedings of the QCD Evolution 2016, PoS(QCDEV2016)052, pp. 1-16. 2016. National Institute for Subatomic Physics (Nikhef) in Amsterdam, 2016.
- Jakob Ablinger, Arnd Behring, Johannes Blümlein, Abilio De Freitas, Alexander Hasselhuhn, Andreas von Manteuffel, Clemens G. Raab, Mark Round, Carsten Schneider, Fabian Wißbrock: 3-loop heavy flavor Wilson coefficients in deep-inelastic scattering. In: 17th International Conference in Quantum Chromodynamics (QCD 14), Stephan Narison (ed.), Nucl. Phys. B (Proc. Suppl.) 258-259, pp. 41-44. 2015. ISSN 0550-3213. arXiv:1409.1804 [hep-ph].
- Jakob Ablinger, Arnd Behring, Johannes Blümlein, Abilio De Freitas, Alexander Hasselhuhn, Andreas von Manteuffel, Torsten Pfoh, Clemens G. Raab, Mark Round, Carsten Schneider, Fabian Wissbrock: New Results on the 3-Loop Heavy Flavor Corrections in Deep-Inelastic Scattering. In: Proc. of RADCOR, PoS(RADCOR 2013)058, pp. 1-21. 2013. ISSN 1824-8039. arXiv:1312.0124 [hep-ph].
- Jakob Ablinger, Arnd Behring, Johannes Blümlein, Abilio De Freitas, Andreas von Manteuffel, Carsten Schneider: Calculating Three Loop Ladder and V-Topologies for Massive Operator Matrix Elements by Computer Algebra. Comput. Phys. Comm. 202, pp. 33-112. 2016. ISSN 0010-4655. arXiv:1509.08324 [hep-ph].
- Jakob Ablinger, Arnd Behring, Johannes Blümlein, Abilio De Freitas, Andreas von Manteuffel, Carsten Schneider: The three-loop splitting functions P(2)qg and P(2;NF)gg . Nucl. Phys. B. 922, pp. 1-40. 2017.
- Jakob Ablinger, Arnd Behring, Johannes Blümlein, Abilio De Freitas, Andreas von Manteuffel, Carsten Schneider, K. Schönwald: The three-loop single mass polarized pure singlet operator matrix element. Nuclear Physics B 953(114945), pp. 1-25. 2020.
- Jakob Ablinger, Arnd Behring, Johannes Blümlein, Abilio De Freitas, Andreas von Manteuffel, Carsten Schneider: The 3-Loop Pure Singlet Heavy Flavor Contributions to the Structure Function $F_2(x, Q^2)$ and the Anomalous Dimension. Nuclear Physics B 890, pp. 48-151. 2015. ISSN 0550-3213. arXiv:1409.1135 [hep-ph].
- Jakob Ablinger, Arnd Behring, Johannes Blümlein, Giulio Falcioni, Abilio De Freitas, Peter Marquard, Narayan Rana, Carsten Schneider. Heavy quark form factors at two loops in perturbative QCD. Acta Physica Polonica B 48(12), pp. 2155-2166. 2017.
- Jakob Ablinger, Arnd Behring, Johannes Blümlein, Giulio Falcioni, Abilio De Freitas, Peter Marquard, Narayan Rana, Carsten Schneider. The heavy quark form factors at two loops. Physical Review D 97(094022), pp. 1-44. 2018.
- Jakob Ablinger, Arnd Behring, Johannes Blümlein, Abilio De Freitas, E. Imamoglu, Mark van Hoeij, Andreas von Manteuffel, Clemens G. Raab, Cristian-Silviu Radu, Carsten Schneider: Iterative and Iterative-Noniterative Integral Solutions in 3-Loop Massive QCD Calculations. Pages 113 in: PoS (RADCOR2017) 069. A. Hoang and C. Schneider (eds.). Proceedings of the St. Gilgen Meeting, 2018. ISSN 1824-8039.
- Jakob Ablinger, Arnd Behring, Johannes Blümlein, Abilio De Freitas, Alexander Hasselhuhn, Andreas von Manteuffel, Clemens G. Raab, Mark Round, Carsten Schneider, Fabian Wißbrock: Recent progress on the calculation of three-loop heavy flavor Wilson coefficients in deep-inelastic scattering. In J. Blümlein, P. Marquard, and T. Riemann, editors, Loops and Legs in Quantum Field Theory - LL 2014, PoS(LL2014)041, pages 1-11, 2014.
- Jakob Ablinger, Arnd Behring, Johannes Blümlein, Abilio De Freitas, Alexander Hasselhuhn, Andreas von Manteuffel, Clemens G. Raab, Mark Round, Carsten Schneider, Fabian Wißbrock:. 3-loop corrections to the heavy flavor Wilson coefficients in deep-inelastic scattering. In: Proceedings of the European Physical Society Conference on High Energy Physics (EPS-HEP), PoS(EPS-HEP2015)504, pp. 1-13. 2016.
- Jakob Ablinger, Arnd Behring, Johannes Blümlein, Abilio De Freitas, Andreas von Manteuffel, Carsten Schneider: Heavy flavor Wilson coefficients in deep-inelastic scattering: Recent results. In: Proceedings of QCDEV2017, L. Gamberg, A. Prokudin, J.W. Qiu and A. Radyushkin (ed.), PoS(QCDEV2017)031 , pp. 1-10. 2018.
- Jakob Ablinger, Arnd Behring, Johannes Blümlein, Giulio Falcioni, Abilio De Freitas, Alexander Hasselhuhn, Andreas von Manteuffel, Mark Round, Carsten Schneider, Fabian Wißbrock: New results on massive 3-loop Wilson coefficients in deep-inelastic scattering. In: Proc. Loops and Legs in Quantum Field Theory - LL 2016, J. Blümlein, P. Marquard, T. Riemann (ed.), Proc. of Sciences PoS(LL2016) 065, pp.
1-16. 2016. - Jakob Ablinger, Arnd Behring, Johannes Blümlein, Abilio De Freitas, Carsten Schneider: Algorithms to solve coupled systems of dierential equations in terms of power series. In: Proc. Loops and Legs in Quantum Field Theory - LL 2016, J. Blülein, P. Marquard, T. Riemann (ed.)
PoS(LL2016)005, pp. 1-15. 2016. - Jakob Ablinger, Johannes Blümlein, Abilio De Freitas, Alexander Hasselhuhn, Andreas von Manteuffel, Clemens G. Raab, Mark Round, Carsten Schneider, Fabian Wißbrock: Recent Results on the 3-Loop Heavy Flavor Wilson Coefficients in Deep-Inelastic Scattering. In: XXI International Workshop on Deep-Inelastic Scattering and Related Subjects - DIS2013, PoS(DIS 2013)301, pp. 1-8. 2013. ISSN 1824-8039. arXiv:1307.7548 [hep-ph].
- Jakob Ablinger, Johannes Blümlein, Abilio De Freitas, Alexander Hasselhuhn, Andreas von Manteuffel, Mark Round, Carsten Schneider, Fabian Wißbrock: The Transition Matrix Element $A_{gq}(N)$ of the Variable Flavor Number Scheme at $O(\alpha_s^3)$. Nuclear Physics B 882, pp. 263-288. 2014. ISSN: 0550-3213. arXiv:1402.0359 [hep-ph].
- Jakob Ablinger, Johannes Blümlein, Abilio De Freitas, Alexander Hasselhuhn, Andreas von Manteuffel, Mark Round, Carsten Schneider, Fabian Wißbrock: 3-Loop Heavy Flavor Corrections in Deep-Inelastic Scattering with Two Heavy Quark Lines. In: Proceedings of Loops and Legs in Quantum Field Theory - LL 2014, J. Bluemlein, P. Marquard, T. Riemann (ed.), PoS(LL2014)015 , pp. 1-10. 2014. ISSN 1824-8039. arXiv:1407.2821 [hep-ph].
- Jakob Ablinger, Johannes Blümlein, Abilio De Freitas, Alexander Hasselhuhn, Andreas von Manteuffel, Mark Round, Carsten Schneider: The O(α_s^3 T_F^2) Contributions to the Gluonic Operator Matrix Element. Nuclear Physics B, 885:280317, 2014.
- Jakob Ablinger, Johannes Blümlein, Abilio De Freitas, Alexander Hasselhuhn, Andreas von Manteuffel, Mark Round, Carsten Schneider: 3-loop Massive $O(T_F^2)$ Contributions to the DIS Operator Matrix Element $A_{gg}$. In: 17th International Conference in Quantum Chromodynamics (QCD 14), Stephan Narison (ed.), Proceedings of QCD Montpellier Conference, Nucl. Phys. B (Proc. Suppl.) 258-259, pp. 37-40. 2015. ISSN 0550-3213. arXiv:1409.1435 [hep-ph].
- Jakob Ablinger, Johannes Blümlein, Abilio De Freitas, Alexander Hasselhuhn, Carsten Schneider, Fabian Wißbrock: Three loop massive operator matrix elements and asymptotic Wilson coefficients with two different masses. Nucl. Phys. B. 921, pp. 585-688. 2017.
- Jakob Ablinger, Johannes Blümlein, Abilio De Freitas, Mark van Hoeij, E. Imamoglu, Clemens G. Raab, Cristian-Silviu Radu, Carsten Schneider: Iterated elliptic and hypergeometric integrals for Feynman diagrams. J. Math. Phys. 59(062305), pp. 1-55. 2018
- Jakob Ablinger, Johannes Blümlein, Abilio De Freitas, Andreas Goedicke, Carsten Schneider, Kay Schönwald: The
two-mass contribution to the three-loop gluonic operator matrix element A(3)gg;Q. Nucl. Phys. B 932, pp. 129-240. 2018. - Jakob Ablinger, Johannes Blümlein, Abilio De Freitas, Andreas Goedicke, Carsten Schneider, Kay Schönwald: Two-mass three-loop effects in deep-inelastic scattering. In: Proceedings of Loops and Legs in Quantum Field Theory - LL 2018, J. Blümlein, P. Marquard (ed.), PoS(LL2018)051 , pp. 1-8. 2018.
- Jakob Ablinger, Johannes Blümlein, Abilio De Freitas, Andreas Goedicke, Carsten Schneider, Kay Schönwald, Fabian Wissbrock: The massive 3-loop operator matrix elements with two masses and the generalized variable flavor number scheme. In: Proc. of the 13th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology), A. Hoang, C. Schneider (ed.), PoS(RADCOR2017) 071, pp. 1-20. 2018.
- Jakob Ablinger, Johannes Blümlein, Abilio De Freitas, Andreas Goedicke, M. Saragnese, Carsten Schneider, Kay Schönwald: The Two-mass Contribution to the Three-Loop Polarized Operator Matrix Element A(3)gg;Q. Nucl. Phys. B 955, pp. 1-70, 2020.
- Jakob Ablinger, Johannes Blümlein, Abilio De Freitas, M. Saragnese, Carsten Schneider, Kay Schönwald: The three-loop polarized pure singlet operator matrix element with two dierent masses. Nuclear Physics B 952(114916), pp. 1-18. 2020. ISSN 0550-3213.
- Jakob Ablinger, Johannes Blümlein, Abilio De Freitas, Kay Schönwald: Subleading Logarithmic QED Initial State Corrections to e+e−→γ∗/Z0∗ to O(α6L5). To appear in Nuclear Physics B, 2020.
- Jakob Ablinger, Johannes Blümlein, Abilio de Freitas, Carsten Schneider: A toolbox to solve coupled systems of differential and difference equations. In: Proc. of 12th International Symposium on Radiative Corrections (Radcor 2015) and LoopFest XIV (Radiative Corrections for the LHC and Future Colliders), PoS(RADCOR2015)060, pp. 1-13. 2017.
- Jakob Ablinger, Johannes Blümlein, Abilio de Freitas, Carsten Schneider, Kay Schönwald: The two-mass contribution to the three-loop pure singlet operator matrix element. Nucl. Phys. B 927, pp. 339-367. 2018.
- Jakob Ablinger, Johannes Blümlein, Peter Marquard, Narayan Rana, Carsten Schneider: Heavy quark form factors at three loops in the planar limit. Physics Letters B 782, pp. 528-532. 2018.
- Jakob Ablinger, Johannes Blümlein, Peter Marquard, Narayan Rana, Carsten Schneider: Automated solution of first order factorizable systems of dierential equations in one variable. Nucl. Phys. B 939, pp. 253-291. 2019.
- Jakob Ablinger, Johannes Blümlein, Peter Marquard, Narayan Rana, Carsten Schneider: Massive three loop form factors in the planar limit. In: Proceedings of Loops and Legs in Quantum Field Theory - LL 2018, J. Blümlein, P. Marquard (ed.), PoS(LL2018)009 , pp. 1-10. 2018.
- Jakob Ablinger, Johannes Blümlein, Peter Marquard, Narayan Rana, Carsten Schneider: Three loop heavy quark form factors and their asymptotic behavior. To appear in Proceedings of ACAT 2019. pp. 1-9, 2020.
- Jakob Ablinger, Johannes Blümlein, Peter Marquard, Narayan Rana, Carsten Schneider: Three loop QCD corrections to heavy quark form factors, To appear in Proc. of 23rd DAE-BRNS High Energy Physics Symposium 2018. pp. 1-8, 2020.
- Jakob Ablinger, Johannes Blümlein, Carsten Schneider: Generalized Harmonic, Cyclotomic, and Binomial Sums, their Polylogarithms and Special Numbers. In: Proc. ACAT 2013, , J. Phys.: Conf. Ser 523/012060, pp. 1-10. 2014. ISSN 1742-6596. arXiv:1310.5645 [math-ph].
- Jakob Ablinger, Johannes Blümlein, Clemens G. Raab, Carsten Schneider, Fabian Wissbrock: Calculating Massive 3-loop Graphs for Operator Matrix Elements by the Method of Hyperlogarithms. Nuclear Physics B 885, pp. 409-447. 2014. ISSN: 0550-3213. arXiv:1403.1137 [hep-ph].
- Jakob Ablinger, Johannes Blümlein, Clemens G. Raab, Carsten Schneider: Nested (inverse) binomial sums and new iterated integrals for massive Feynman diagrams. In: Loops and Legs in Quantum Field Theory - LL 2014, J. Bluemlein, P. Marquard, T. Riemann (ed.), PoS(LL2014)020 , pp. 1-13. 2014. ISSN 1824-8039. arXiv:1407.4721 [hep-th].
- Jakob Ablinger, Johannes Blümlein, Clemens.G. Raab, Carsten Schneider: Iterated Binomial Sums and their Associated Iterated Integrals. J. Math. Phys. 55(112301), pp. 1-57. 2014. ISSN 0022-2488. arXiv:1407.1822 [hep-th].
- Jakob Ablinger, Johannes Blümlein, Mark Round, Carsten Schneider: Numerical implementation of harmonic polylogarithms to weight w = 8. Comput. Phys. Comm. 240, pp. 189-201. 2019.
- Jakob Ablinger, Johannes Blümlein, Mark Round, Carsten Schneider: Special functions, transcendentals and their numerics. In: Proc. of the 13th Int. Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology), A. Hoang, C. Schneider (ed.),
PoS(RADCOR2017) 010, pp. 1-7. 2018. - Jakob Ablinger, Johannes Blümlein, Carsten Schneider: Generalized harmonic, cyclotomic, and binomial sums, their polylogarithms and special numbers. In Proc. ACAT 2013, volume 523 of J. Phys.: Conf. Ser, pages 110, 2014.
- Jakob Ablinger, Johannes Blümlein: Harmonic Sums, Polylogarithms, SpecialNumbers, and their Generalizations. In Computer Algebra in Quantum Field Theory, C. Schneider, J. Blümlein (ed.), Texts and Monographs in Symbolic Computation , pp. 1-32. 2013. Springer. arXiv: 1304.7071 [math-ph].
- Jakob Ablinger, Carsten Schneider: Algebraic independence of (cyclotomic) harmonic sums. Annals of Combinatorics 22(2), pp. 213-244. 2018.
- Jakob Ablinger, Ali K. Uncu: qFunctions – a Mathematica package for q-series and partition theory applications. pp. 1-17, 2019. Under review.
- Jakob Ablinger: Discovering and Proving Infinite Binomial Sums Identities. Experimental Mathematics 26, pp. 62-71. 2017.
- Jakob Ablinger: Proving two conjectural series for ζ(7) and discovering more series for ζ(7). In: Mathematical Aspects of Computer and Information Sciences, Springer International Publishing, pp 4247, Daniel Slamanig, Elias Tsigaridas, Zafeirakis Zafeirakopoulos (ed.), 2020.
- Jakob Ablinger: The package HarmonicSums: Computer Algebra and Analytic aspects of Nested Sums. In: Loops and Legs in Quantum Field Theory - LL2014, J. Blümlein, P. Marquard, T. Riemann (ed.), pp. 1-10. 2014. arXiv:1407.6180 [cs.SC]
- Jakob Ablinger: Inverse Mellin Transform of Holonomic Sequences. Loops and Legs in Quantum Field Theory - LL2016, J. Blümlein, P. Marquard, T. Riemann (ed.), S (LL2016) 067, pp. 1-10. 2016.
- Jakob Ablinger: Computing the inverse Mellin transform of holonomic sequences using Kovacic's algorithm. In: Proc. of the 13th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology), A. Hoang, C. Schneider (ed.), PoS (RADCOR2017) 001, pp. 1-8. 2018.
- Jakob Ablinger: An Improved Method to Compute the Inverse Mellin Transform of Holonomic Sequences. In: Proceedings of Loops and Legs in Quantum Field Theory - LL 2018, J. Blümlein, P. Marquard (ed.), PoS(LL2018)063 , pp. 1-10. 2018.
- Céline Abraham, Jérémie Bettinelli, Gwendal Collet, Igor Kortchemski: Random maps. ESAIM: Proceedings and Surveys. 51 (2015), 133-149.
- Sergei A. Abramov, Manuel Bronstein, Marko Petkovšek, Carsten Schneider: On Rational and Hypergeometric Solutions of Linear Ordinary Difference Equations in ΠΣ∗-field extensions. pp. 1-58, 2020. Under review.
- Erhard Aichinger, Rika Yatchak: Sonata: a gap tool for nearring computations. ACM Communications in Computer Algebra, 50:89--92, 09 2016.
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Florian Aigner: A new determinant for the Q-enumeration of alternating sign matrices. Preprint.
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Florian Aigner, Ilse Fischer, Matjaž Konvalinka, Philippe Nadeau, Vasu Tewari: Alternating sign matrices and totally symmetric plane partitions.Sém. Lothar. Combin. 84B (2020), FPSAC'20.
- Javier T. Akagi, Carlos F. Gaona, Fabricio Mendoza, Manjil P. Saikia, Marcos Villagra: Hard and easy instances of L-tromino tilings. WALCOM: algorithms and computation, Lecture Notes in Comput. Sci. 11355 (2019), 82 -- 95.
- Alexander Alexandrov, Helge Dietert, : Proof of a conjecture of M. Patrick concerning Jacobi polynomials. Journal of Mathematical Analysis and Applications 428(2), pp. 750761. 2015.
- Krishnawami Alladi, Peter Paule, James Sellers, Ae Ja Yee (editors): Combinatory Analysis. Proceedings of Combinatory Analysis 2008: Partitions, q-series, and Applications: A Conference in Honor of George Andrews' 70th Birthday. Developments in Math. 32, Springer, 2013.
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Mariemi E. Alonso, Francisco J. Castro-Jiménez, Herwig Hauser, Christoph Koutschan: Echelons of power series and Gabrielov’s counterexample to nested linear Artin approximation. Bulletin of the London Mathematical Society, 50(4):649–662, 2018.
- Federico Ardila, Hanner Bastidas, Cesar Ceballos, John Guo: The configuration space of a robotic arm in a tunnel, SIAM J. Discrete Math., 31 (2017), no. 4, 2675-2702.
- Andrei Asinowski, Axel Bacher, Cyril Banderier, Bernhard Gittenberger: Analytic combinatorics of lattice paths with forbidden patterns: enumerative aspects. In Language and Automata Theory and Applications, 12th International Conference LATA 2018, LNCS 10792
(2018), 195206, Springer. - Andrei Asinowski, Axel Bacher, Cyril Banderier, Bernhard Gittenberger: Analytic combinatorics of lattice paths with forbidden patterns: asymptotic aspects and Borges's theorem. LIPIcs, 110 Aofa 2018 (2018), 10:110:14.
- Andrei Asinowski, Axel Bacher, Cyril Banderier, Bernhard Gittenberger: Analytic Combinatorics of Lattice Paths with Forbidden Patterns, the Vectorial Kernel Method, and Generating Functions for Pushdown Automata. Algorithmica, 82 (2020) 386428.
- Andrei Asinowski, Christian Krattenthaler, Toufik Mansour. Counting triangulations of some classes of subdivided convex polygons. Europ. J. Combin. 62 (2017), 92-114.
- Andrei Asinowski, Alon Regev: Triangulations with few ears: symmetry classes and disjointness. Integers, 16 (2016). Paper No. A5, 12 pp.
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Arvind Ayyer, Roger Behrend: Factorization theorems for classical group characters, with applications to alternating sign matrices and plane partitions. J. Combin. Theory, Ser. A 165 (2019), 78 -- 105.
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Arvind Ayyer, Roger Behrend, Ilse Fischer: Extreme diagonally and antidiagonally symmetric alternating sign matrices of odd order. Adv. Math. 367 (2020).
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Arvind Ayyer, lse. Fischer: Bijective proofs of skew Schur polynomial factorizations. J. Combin. Theory, Ser. A 174 (2020).
- Axel Bacher, Nicholas Beaton: Weakly prudent self-avoiding bridges. Proc of FPSAC 2014 pages 827--838.
- Axel Bacher, Antonio Bernini, Luca Ferrari, Benjamin Gunby, Renzo Pinzani, Julian West: The Dyck pattern poset. Discrete Mathematics, 321:12--23, 2014.
- Axel Bacher, Olivier Bodini, Alice Jacquot: Efficient random sampling of binary and unary-binary trees via holonomic equations, arxiv 1401.1140.
- Axel Bacher, Manuel Kauers, Rika Yatchak: Continued Classification of 3D Lattice Walks in the Positive Octant, November 2015, Preprint arXiv 1511.05763.
- Axel Bacher, Andrea Sportiello: Complexity of Anticipated Rejection Algorithms and the Darling-Mandelbrot Distribution. Algorithmica 74(1) pages 1--20.
- Cyril Banderier, Michael Drmota: Coefficients of algebraic functions: formulae and asymptotics, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013), DMTCS Proc. AS, 1065-1076, 2013.
- Cyril Banderier, Michael Drmota: Formulae and asymptotics for coefficients of algebraic functions, Combinatorics, Probability and Computinge 24, Special Issue 01, 1-53, 2015.
- Cyril Banderier, Christian Krattenthaler, Alan Krinik, Dmitry Kruchinin, Vladimir Kruchinin, David Tuan Nguyen, Michael Wallner: Explicit formulas for enumeration of lattice paths: basketball and the kernel method,in: Lattice Path Combinatorics and Applications, G. E. Andrews, Christian Krattenthaler and A. Krinik (eds.), Developments in Mathematics, Springer-Verlag, Cham, 2019, pp. 78-118.
- Cyril Banderier, Michael Wallner: Lattice paths below a line of rational slope. submitted.
- Cyril Banderier, Michael Wallner: Lattice paths of slope 2/5. In Proceedings of the Twelfth Workshop on Analytic Algorithmics and Combinatorics (ANALCO), 2015, 105113.
- Cyril Banderier, Michael Wallner: Some reflections on lattice paths. Discrete Math. Theoret. Computer Science Proceedings, BA (2014), 2536.
- Cyril Banderier, Michael Wallner: Lattice paths with catastrophes. Electronic Notes in Discrete Mathematics, 59 (2017), 131146.
- Cyril Banderier, Michael Wallner: The kernel method for lattice paths of rational slope. In Lattice Path Combinatorics and Applications, G. E. Andrews, C. Krattenthaler and A. Krinik (eds.), Developments in Mathematics, Springer-Verlag, Cham, 2019, 119154.
- Frédérique Bassino, Mathilde Bouvel, Adeline Pierrot, Dominique Rossin: An algorithm for deciding the finiteness of the number of simple permutations in permutation classes. Advances in Applied Mathematics. 64 (2015)
- Matthias Beck, Felix Breuer, Logan Godkin, Jeremy L. Martin: Enumerating Colorings, Tensions and Flows in Cell Complexes. Journal of Combinatorial Theory, Series A 122(4), pp. 82-106. 2014. 0097-3165.
- Matthias Beck, Benjamin Braun, Matthias Köppe, Carla Savage, Zafeirakis Zafeirakopoulos: s-Lecture hall partitions, self-reciprocal polynomials, and Gorenstein cones. Ramanujan Journal, 36:123147, 2015.
- Matthias Beck, Benjamin Braun, Matthias Köppe, Carla Savage, Zafeirakis Zafeirakopoulos: Generating functions and triangulations for lecture hall cones. SIAM Journal of Discrete Mathematics, 30:14701479, 2016.
- Małgorzata Bednarska-Bzdęga, Michael Krivelevich, Viola Mészáros, Clément Requilé: Proper colouring painter–builder game.
Discrete Mathematics 341 (2018), 658--664. - Arnd Behring, Johannes Blümlein, Abilio De Freitas, Andreas Goedicke, Sebastian Klein, Andreas von Manteuffel, Carsten Schneider, Kay Schönwlad: The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements. Nuclear Physics B 948(114753), pp. 1-41. 2019.
- Arnd Behring, Johannes Blümlein, Abilio De Freitas, Andreas Goedicke, Sebastian Klein, Andreas von Manteuffel, Carsten Schneider, Kay Schönwlad: The Polarized Three-Loop Anomalous Dimensions from a Massive Calculation. In: 14th International Symposium on Radiative Corrections (RADCOR2019), D. Kosower, M. Cacciari (ed.), POS(RADCOR2019)047. pp. 1-10. 2020.
- Arnd Behring, Johannes Blümlein, Abilio De Freitas, Alexander Hasselhuhn, Andreas von Manteuffel, Carsten Schneider: The O(\alpha_s^3) Heavy Flavor Contributions to the Charged Current Structure Function xF_3(x, Q^2) at Large Momentum Transfer. Physical Review D 92(114005), pp. 1-19. 2015. ISSN 1550-2368. arXiv:1508.01449 [hep-ph].
- Arnd Behring, Johannes Blümlein, Abilio De Freitas, Andreas von Manteuffel, Carsten Schneider: The 3-Loop Non-Singlet Heavy Flavor Contributions to the Structure Function g_1(x, Q^2) at Large Momentum Transfer. Nucl. Phys. B 897, pp. 612-644. 2015. ISSN 0550-3213.. arXiv:1504.08217 [hep-ph].
- Arnd Behring, Johannes Blümlein, Abilio De Freitas, Alexander Hasselhuhn, Andreas von Manteuffel, Carsten Schneider:The O(α3s) heavy flavor contributions to the charged current structure function xF3(x,Q2) at large momentum transfer. Physical Review D, 92(114005):119, 2015.
- Arnd Behring, Johannes Blümlein, Abilio De Freitas, Andreas von Manteuffel, Carsten Schneider: The 3-loop non-singlet heavy flavor contributions to the structure function g1(x, Q2) at large momentum transfer. Nucl. Phys. B, 897:612644, 2015.
- Arnd Behring, Johannes Blümlein, Giulio Falcioni, Abilio De Freitas, Andreas von Manteuffel, Carsten Schneider: The asymptotic 3-loop heavy flavor corrections to the charged current structure functions FW+−W−L(x,Q2) and FW+−W−2(x,Q2). Physical Review D 94(11), pp. 1-19. 2016.
- Arnd Behring, Johannes Blümlein, Abilio De Freitas, Torsten Pfoh, Clemens G. Raab, Mark Round, Jakob Ablinger, Alexander Hasselhuhn, Carsten Schneider, Fabian Wißbrock, Andreas von Manteuffel: New results on the 3-loop heavy avor corrections in deep-inelastic scattering. In Proc. of RADCOR, PoS(RADCOR 2013)058, pages 121, 2014.
- Djamal Belazzougui, Adeline Pierrot, Mathieu Raffinot, Stéphane Vialette: Single and multiple consecutive permutation motif search.
In ISAAC 2013 : Proceedings of the 24th International Symposium on Algorithms and Computation, Hong Kong, December 16-18, 2013
Volume 8283 of Lecture Notes in Computer Science, pp 66-77 Springer-Verlag, 2013.
- Chris Berg, Viviane Pons, Travis Scrimshaw, Jessica Striker, Christian Stump: FindStat - the combinatorial statistics database.
- Nantel Bergeron, Cesar Ceballos, Josef Küstner: Elliptic and q-analogs of the Fibonomial numbers, preprint.
- Nantel Bergeron, Cesar Ceballos, Vincent Pilaud: Hopf dreams and diagonal harmonics, preprint.
- Alexander Berkovich, Ali K. Uncu: Where do the maximum absolute q-series coefficients of (1 − q)(1 − q^2)(1 − q^3)(1 − q^(n−1))(1 − q^n) occur? pp 1-9, 2019. To appear in Experimental Mathematics.
- Alexander Berkovich, Ali K. Uncu: Rened q-trinomial coecients and two innite hierarchies of q-series identities. Algorithmic Combinatorics - Enumerative Combinatorics, Special Functions and Computer Algebra, Texts & Monographs in Symbolic Computation, Springer, in press, 2020.
- Alexander Berkovich, Ali K. Uncu: On some polynomials and series of Bloch-Pólya type. Proc. Amer. Math. Soc., 146(7):28272838, 2018.
- Alexander Berkovich, Ali K. Uncu: Elementary polynomial identities involving q-trinomial coeffiicients. Ann. Comb., 23(3-4):549-560, 2019.
- Alexander Berkovich, Ali K. Uncu: Polynomial identities implying Capparelli's partition theorems. J. Number Theory, 201:77107, 2019.
- Alexander Berkovich, Ali K. Uncu: Some elementary partition inequalities and their implications. Ann. Comb., 23(2):263284, 2019.
- Sparsity optimized high order finite element functions for H(curl) on tetrahedra. Advances in Applied Mathematics 50, pp. 749-769. 2013.
- Gaurav Bhatnagar: Analogues of a Fibonacci-Lucas identity. Fibonacci Quarterly (2) 54 (2016), 166171.
- Gaurav Bhatnagar: Heine's method and A<sub>n</sub> to A<sub>m</sub> transformation formulas. Ramanujan J. 48 (2019), no. 1, 191-215.
- Gaurav Bhatnagar: A bibasic Heine transformation formula and Ramanujan's 2ϕ1 transformations. Analytic number theory, modular forms and q-hypergeometric series, 99-122, Springer Proc. Math. Stat., 221, Springer, Cham, 2017.
- Gaurav Bhatnagar, Michael Hirschhorn: A formula for the convergents of a continued fraction of Ramanujan, preprint.
- Gaurav Bhatnagar, Mourad E. H. Ismail: On Entry II.16.12: A continued fraction of Ramanujan, Int. J. Number Theory (to appear).
- Gaurav Bhatnagar, Mourad E. H. Ismail: Orthogonal polynomials associated with a continued fraction of Hirschhorn, preprint.
- Gaurav Bhatnagar, Christian Krattenthaler: Spiral determinants, Linear Algebra Appl. 529 (2017), 374-390.
- Gaurav Bhatnagar, Christian Krattenthaler: The determinant of an elliptic Sylvesteresque matrix, SIGMA 14 (2018), 052, 15 pp.
- Gaurav Bhatnagar, Michael Schlosser: A partial theta function Borwein conjecture. Ann. Comb. 23 (2019), no. 3-4, 561-572. 11B65
- Gaurav Bhatnagar, Michael Schlosser: Elliptic well-poised Bailey transforms and lemmas on root systems. SIGMA Symmetry Integrability Geom. Methods Appl. 14 (2018), Paper No. 025, 44 pp.
- Gaurav Bhatnagar, Hartosh Singh Bal: Prime number conjectures from the Shapiro class structure, INTEGERS, 20, #A11, (2020), 23 pp.
- Armin Biere, Manuel Kauers, Daniela Ritirc: Challenges in verifying arithmetic circuits using computer algebra. In Proceedings of SYNASC'17, pages 5--16, 2017.
- Armin Biere, Daniela Kaufmann, Manuel Kauers: Incremental column-wise verification of arithmetic circuits using computer algebra. Formal Methods in System Design, 2019.
- Johannes Blümlein, Abilio De Freitas, Carsten Schneider: Higher Order Heavy Quark Corrections to Deep-Inelastic Scattering. In: Advances in Computational Particle Physics, J. Blümlein, K. Jansen, M. Krämer, J.H. Kühn (ed.), Proceedings of Final Meeting of DFG SFB-TR-9, Nucl. Phys. B (Proc. Suppl.) , pp. 185-201. 2015. ISSN 0550-3213. arXiv:1411.5669 [hep-ph].
- Johannes Blümlein, Abilio De Freitas, Carsten Schneider: Recent Symbolic Summation Methods to Solve Coupled Systems of Differential and Difference Equations. In: Loops and Legs in Quantum Field Theory - LL 2014, J. Bluemlein, P. Marquard, T. Riemann (ed.), PoS(LL2014)017 , pp. 1-13. 2014. ISSN 1824-8039. arXiv:1407.2537 [cs.SC].
- Johannes Blümlein, Abilio De Freitas, Carsten Schneider, Kay Schönwald: The variable avor number scheme at next-to-leading order. Physics Letters B 782, pp. 362-366. 2018.
- Johannes Blümlein, Abilio De Freitas, Carsten Schneider, Kay Schönwald: The three loop two-mass contribution to the gluon vacuum polarization. pp. 1-5, 2017.
- Johannes Blümlein, Ievgen Dubovyk, Janusz Gluza, Michal Ochman, Clemens.G. Raab, Tord Riemann, Carsten Schneider: Non-planar Feynman integrals, Mellin-Barnes representations, multiple sums. In: Loops and Legs in Quantum Field Theory - LL 2014, J. Bluemlein, P. Marquard, T. Riemann (ed.), PoS(LL2014)52 , pp. 1-14. 2014. ISSN 1824-8039. arXiv:1407.7832 [hep-ph].
- Johannes Blümlein, Andreas Maier, Peter Marquard, Gerhard Schäfer, Carsten Schneider: From Momentum Expansions to Post-Minkowskian Hamiltonians by Computer Algebra Algorithms. Phys Lett B 801(135157), pp. 1-8. 2020.
- Johannes Blümlein, Peter Marquard, Narayan Rana, Carsten Schneider: The Heavy Fermion Contributions to the Massive Three Loop Form Factors. Nuclear Physics B 949(114751), pp. 1-97. 2019.
- Johannes Blümlein, Peter Marquard, Narayan Rana, Carsten Schneider: Heavy quark form factors at three loops. In: 14th International Symposium on Radiative Corrections (RADCOR2019), D. Kosower, M. Cacciari (ed.)POS(RADCOR2019)013, pp. 1-7. 2020.
- Johannes Blümlein, Peter Marquard, Carsten Schneider: A rened machinery to calculate large moments from coupled systems of linear differential equations. In: 14th Int. Symposium on Radiative Corrections (RADCOR2019), D. Kosower, M. Cacciari (ed.), POS(RADCOR2019)078, pp. 1-13. 2020.
- Johannes Blümlein, Mark Round, Carsten Schneider: Refined holonomic summation algorithms in particle physics. In: Advances in Computer Algebra, Springer Proceedings in Mathematics & Statistics 226, pages 51-91, 2018.
- Johannes Blümlein, Carsten Schneider: The method of arbitrarily large moments to calculate single scale processes in quantum field theory. Physics Letters B 771, pp. 31-36. 2017.
- Johannes Blümlein, Carsten Schneider: Analytic computing methods for precision calculations in quantum field theory. International Journal of Modern Physics A, 33(1830015), pp. 1-35. 2018.
- Johannes Blümlein, Carsten Schneider: Computer algebra tools for Feynman integrals and related multi-sums. In: Proceedings of Loops and Legs in Quantum Field Theory - LL 2018, J. Bläijmlein, P. Marquard (ed.), PoS(LL2018)052 , pp. 1-17. 2018.
- Johannes Blümlein, Carsten Schneider, Peter Paule (eds.): Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory. Texts and Monographs in Symbolic Computation. Springer, 2019. ISBN 978-3-030-04480-0.
- Olivier Bodini, Bernhard Gittenberger, Danièle Gardy, Alice Jacquot: Enumeration of generalized BCI lambda-terms. Electronic Journal of Combinatorics, 20, article P30, 23pp. (electronic), 2013.
- Olivier Bodini, Bernhard Gittenberger, Danièle Gardy, Zbigniew Gołębiewski: On the number of unary-binary tree-like structures with restrictions on the unary height. Annals of Combinatorics, 22 (2018), 4591.
- Olivier Bodini, Antoine Genitrini, Bernhard Gittenberger, Isabella Larcher, Mehdi Naima: Compaction for two models of logarithmic-depth trees: analysis and experiments. Submitted. Preprint.
- Olivier Bodini, Antoine Genitrini, Bernhard Gittenberger, Stephan Wagner: On the number of increasing trees with label repetitions. Discrete Mathematics, to appear. 239 (2018), 4561.
- Olivier Bodini, Bernhard Gittenberger: On the number of BCK(2) lambda-terms. In Proceedings of the Eleventh Workshop on Analytic Algorithmics and Combinatorics (ANALCO) 2014, 2539.
- Olivier Bodini, Bernhard Gittenberger, Zbigniew Gołębiewski: Enumerating lambda terms by weighted length of their De Bruijn representation. Discrete Applied Mathematics, 239 (2018), 4561.
- On 3-dimensional lattice walks confined to the positive octant. Annals of Combinatorics, pp. ??-??. 2014. ISSN 0218-0006. to appear.
- Richard P. Brent, Christian Krattenthaler, S. Ole Warnaar: Discrete analogues of Macdonald-Mehta integrals, J. Combin. Theory Ser. A 144 (2016), 80-138.
- Felix Breuer, Brandt Kronholm: A polyhedral model of partitions with bounded differences and a bijective proof of a theorem of Andrews, Beck, and Robbins. Research in Number Theory, 2:2 (15 pages), March 2016.
- Felix Breuer, C. J. Klivans: Scheduling Problems. J. Comb. Theory, Series A, 139:5979, 2016.
- Felix Breuer, Dennis Eichhorn, Brandt Kronholm: Polyhedral geometry, supercranks, and combinatorial witnesses of congruences for partitions into three parts. European J. Comb.. 65:230252, 2017.
- Felix Breuer, Zafeirakis Zafeirakopoulos: Polyhedral Omega: A New Algorithm for Solving Linear Diophantine Systems. Annals of Combinatorics, 21:211280, 2017.
- Felix Breuer: An Invitation to Ehrhart Theory: Polyhedral Geometry and its Applications in Enumerative Combinatorics. Pages 129 in: Computer Algebra and Polynomials, J. Gutierrez, J. Schicho, M. Weimann (eds.). Lecture Notes in Computer Science 8942, Springer, 2015.
- Sarah B. Brodsky, Cesar Ceballos, Jean-Philippe Labb: Cluster Algebras of Type D₄, Tropical Planes, and the Positive Tropical Grassmannian. J. Beitr Algebra Geom 58 (2017), 25-46.
- Manfred Buchacher, Manuel Kauers: Inhomogeneous restricted lattice walks. In Proc. FPSAC'19, page SLC 82B\#75, 2019.
- Manfred Buchacher, Manuel Kauers, Gleb Pogudin: Separating variables in bivariate polynomial ideals. To appear at ISSAC'20.
- Wenqin Cao, Emma Yu Jin, Zhicong Lin: Enumeration of inversion sequences avoiding triples of relations. Discrete Applied Mathematics, 260 (2019), 86-â97.
- Jose Capco, Matteo Gallet, Georg Grasegger, Christoph Koutschan, Niels Lubbes, Josef Schicho: The number of realizations of a Laman graph. SIAM Journal on Applied Algebra and Geometry, 2(1):94–125, 2018.
- Xavier Caruso, Tristan Vaccon, Thibaut Verron: Gröbner bases over Tate algebras. Proc. ISSAC'19, 2019.
- Cesar Ceballos, Rafael S. González D'León: Signature Catalan Combinatorics. Journal of Combinatorics, 10 (2019), no. 4, 725-773.
- Cesar Ceballos, Wenjie Fang, Henri Mühle: The steep-bounce zeta map in parabolic Cataland, Journal of Combinatorial Theory, Series A 172 (2020), 105210.
- Cesar Ceballos, Arnau Padrol, Camilo Sarmiento: The v-Tamari lattice via v-trees, v-bracket vectors, and subword complexes, Electron. J. Combin. 27 (2020), no. 1, Paper 1.14, 31 pp.
- Cesar Ceballos, Arnau Padrol, Camilo Sarmiento: Geometry of v-Tamari lattices in types A and B. Trans. Amer. Math. Soc. 371 (2019), no. 4, 2575-2622.
- Frédéric Chapoton, Grégory Chatel, Viviane Pons: Two bijections on Tamari intervals. DMTCS Proceedings, 0(01):241-252 (FPSAC 2014).
- Grégory Chatel, Viviane Pons: Counting smaller elements in the Tamari and m-Tamari lattices. J. Combin. Theory Ser. A 134 (2015), 5897.
- An Improved Abramov-Petkovsek Reduction and Creative Telescoping for Hypergeometric Terms. Proc of ISSAC 2015 pages 117--124.
- A Generalized Apagodu-Zeilberger Algorithm. In: Proceedings of ISSAC 2014, Katsusuke Nabeshima (ed.), pp. 107-114. 2014. ISBN 978-1-4503-2501-1.
- Reduction-based creative telescoping for algebraic functions. Proc. ISSAC'16, pp 175--182, 2016.
- Desingularization of Ore Operators. Journal of Symbolic Computation 74(5-6) pages 617-626, 2016.
- Shaoshi Chen, Christoph Koutschan: Proof of the Wilf–Zeilberger conjecture for mixed hypergeometric terms. Journal of Symbolic Computation, 93:133–147, 2019.
- Desingularization Explains Order-Degree Curves for Ore Operators. Proc of ISSAC 2013 pages 157--164.
- Shaoshi Chen, Manuel Kauers, Ziming Li, Yi Zhang: Apparent singularities of D-finite systems. Journal of Symbolic Computation, 95(10):217--237, 2019.
- Shaoshi Chen, Lixin Du, Manuel Kauers, Thibaut Verron: Integral P-recursive sequences. To appear at ISSAC'20.
- Shaoshi Chen, Mark van Hoeij, Manuel Kauers, Christoph Koutschan: Reduction-based creative telescoping for fuchsian D-finite functions. Journal of Symbolic Computation, 85:108--127, 2018.
- Johann Cigler, Christian Krattenthaler: Hankel determinants of linear combinations of moments of orthogonal polynomials, preprint, 28 pages.
- Mihai Ciucu, Ilse Fischer: Lozenge tilings of hexagons with removed core and satellites. Preprint.
- Mihai Ciucu, Christian Krattenthaler: A dual of MacMahon's theorem on plane partitions, Proc. Natl. Acad. Sci. USA 110 (2013), 4518-4523.
- Mihai Ciucu, Christian Krattenthaler: A factorization theorem for lozenge tilings of a hexagon with triangular holes, 20 pages.Trans. Amer. Math. Soc. 369 (2017), 3655-3672.
- Gwendal Collet, Michael Drmota, Lukas Daniel Klausner: Vertex Degrees in Planar Maps. Proceedings of the 27th International Conference on Probabilistic, Combinatorialand Asymptotic Methods for the Analysis of Algorithms - AofA'16, Krakow, Poland, 16~pp., 2016.
- Gwendal Collet, Michael Drmota, Lukas Daniel Klausner: Limit Laws of Planar Maps with Described Vertex Degrees. Combinatorics, Probabiality and Computing Volume 28, Special Issue 4 (Analysis of Algorithms) July 2019 , pp. 519--541.
- Gwendal Collet, Élie de Panafieu, Danièle Gardy, Bernhard Gittenberger, Vlady Ravelomanana: Threshold functions for small subgraphs: an analytic approach. Electronic Notes in Discrete Mathematics, 61 (2017), 271277.
- Gwendal Collet, Élie de Panafieu, Danièle Gardy, Bernhard Gittenberger, Vlady Ravelomanana: Threshold functions for small subgraphs in simple graphs and multigraphs. European Journal of Combinatorics, to appear. Preprint, 42 pages,
- Fernando P. da Costa, Michael Drmota, Michael Grinfeld: Modelling silicosis: the structure of equilibria. European Journal of Applied Mathematics. to appear.
- Veronika Daxner, Antoine Genitrini, Bernhard Gittenberger, Cécile Mailler: The relation between tree size complexity and probability for Boolean functions generated by uniform random trees. Applicable Analysis and Discrete Mathematics, to appear.
- Marcelo H. de Carvalho, Nishad Kothari, Xiumei Wang, Yixun Lin: Birkhoff-von Neumann graphs that are PM-compact.
SIAM Discret. Math. To appear.
- Jean-Marc Deshouillers, Michael Drmota, Clemens Müllner: Automatic Sequences Generated by Synchronizing Automata Fulfill the Sarnak Conjecture, Studia Mathematica 231 (1), 83-95, 2015.
- Josef Dick, Martin Ehler, Christian Krattenthaler, Manuel Gräf: Spectral decomposition of discrepancy kernels on the Euclidean ball, the special orthogonal group, and the Grassmannian manifold, preprint, 32 pages.
- A hypergeometric inequality. Annals of Combinatorics 20(1), pp. 6572. 2016.
- Diego Dominici, Veronika Pillwein: A sequence of polynomials generated by a Kapteyn series of the second kind. DK Report 201905, to appear in Algorithmic Combinatorics - Enumerative Combinatorics, Special Functions and Computer Algebra, Texts & Monographs in Symbolic Computation, Springer, 2020.
- Diego Dominici: Power series expansion of a Hankel determinant. Linear Algebra and its Applications, 601:17 54, 2020.
- Michael Drmota, Anna de Mier, Marc Noy: Extremal statistics on non-crossing configurations, Discrete Mathematics 327C, 103-117, 2014.
- Michael Drmota, Michael Fuchs, Yi-Wen Lee: Limit Laws for the Number of Groups formed by Social Animals under the Extra Clustering Model, Proceedings of the 25th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms, DMTCS-HAL Proceedings Seriesm, France (Mireille Bousquet-Melou and Michele Soria eds.) DMTCS proc. BA, 2014, 73-84.
- Michael Drmota, Michael Fuchs, Yi-Wen Lee: Stochastic Analysis of the Extra Clustering Model for Animal Grouping, Journal of Mathematical Biology. published online: 31 October 2015.
- Michael Drmota, Michael Fuchs, Hsien-Kuei Hwang, Ralph Neininger: External Profile of Symmetric Digital Search Trees. 2017 Proceedings of the Fourteenth Workshop on Analytic Algorithmics and Combinatorics (ANALCO) (C. Martinez and M.D. Ward eds.). pp 124--130.
- Michael Drmota, Michael Fuchs, Hsien-Kuei Hwang, Ralph Neininger: Node Profiles of Symmetric Digital Search Trees. manuscript.
- Michael Drmota, Stefan Gerhold: Disproof of a conjecture of Rademacher on partial fractions, Proc. AMS Ser. B Volume 1, Pages 121-134 (November 21, 2014) S 2330-1511(2014)00014-6
- Michael Drmota, Omer Gimenez, Marc Noy, Konstantinos Panagiotou, Angelika Steger: The maximum degree of random planar graphs, Proc. London Math. Soc. (2014) doi: 10.1112/plms/pdu024, First published online: June 17, 2014.
- Michael Drmota, Bernhard Gittenberger, Johannes F. Morgenbesser: Systems of Functional Equations and Infinite Dimensional Gaussian Limiting Distributions in Combinatorial Enumeration. manuscript.
- Michael Drmota, Mehri Javanian: Solutions of First Order Linear Partial Differential Equations related to Urn Models and Central Limit Theorems. Proceedings of the 27th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms --- AofA'16, Krak'ow, Poland, 12 pp., 2016.
- Michael Drmota, Emma Yu Jin: An Asymptotic Analysis of Labeled and Unlabeled k-Trees, Algorithmica, published online: 23 July 2015.
- Michael Drmota, Emma Yu Jin: An Asymptotic Analysis of Unlabeled k-Trees, Proceedings of the 25th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms, DMTCS-HAL Proceedings Seriesm, France (Mireille Bousquet-Melou and Michele Soria eds.) DMTCS proc. BA, 2014, 85-96.
- Michael Drmota, Emma Yu Jin: Scaling Limit of Random k-Trees, Proceedings Analco 2016, to appear.
- Michael Drmota, Emma Yu Jin, Benedikt Stufler: Graph limits of random graphs from a subset of connected k-tree. Random Structures and Algorithms 55 (2019), 125-152.
- Michael Drmota, Mihyun Kang, Konstantinos Panagiotou: Pursuing the Giant in Random Graph Processes, manuscript.
- Michael Drmota, Manuel Kauers, Lukas Spiegelhofer: On a conjecture of Cusick concerning the digits of n and n+t, SIAM J. Discrete Math. 30 (2016), 621-649.
- Michael Drmota, Christian Krattenthaler: A joint central limit theorem for the sum-of-digits function, and asymptotic divisibility of Catalan-like sequences, Proc. Amer. Math. Soc. 147 (2019), 4123-4133.
- Michael Drmota, Anna Llado: Almost every tree with m edges decomposes K_2m,2m, Combinatorics Proability Computing 23 (01), 50-65, 2014.
- Michael Drmota, Anna Llado: On a conjecture of Graham and Haeggkvist for random trees, Proceedings of "The Seventh European Conference on Combinatorics, Graph Theory and Applications", CRM Series Volume 16, Springer, 2013, pp 437-441.
- Michael Drmota, Abram Magner, Wojciech Szpankowski: Asymmetric Renyi Problem and PATRICIA Tries. Proceedings of the 27th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms - AofA'16, Krak'ow, Poland, 18~pp., 2016.
- Michael Drmota, Abram Magner, Wojciech Szpankowski: Asymmetric Renyi Problem, Combinatorics, Probabiality and Computing. Volume 28, Special Issue 4 (Analysis of Algorithms) July 2019 , pp. 542-573.
- Michael Drmota, Christian Mauduit, Joel Rivat: The Thue Morse Sequence along Squares is Normal, submitted.
- Michael Drmota, Ralph Neininger, Henning Sulzbach: A Gaussian limit process for optimal FIND algorithms, Electronic Journal of Probability, 19 (3), 1-28, 2014.
- Michael Drmota, Marc Noy: Extremal Parameters in Sub-Critical Graph Classes, Proceedings Analco 2013, SIAM (Markus Nebel and Wojciech
- Michael Drmota, Marc Noy, Benedikt Stufler: Cut vertices in random planar maps, Proceedings AofA 2020. Leibniz International Proceedings in Informatics.to appear.
- Michael Drmota, Marc Noy, Guan-Ru Yu: Universal singular exponents in catalytic variable equations. manuscrip
- Michael Drmota, Lander Ramos, Juanjo Rue: Subgraph statistics in subcritical graph classes, Random Structures and Algorithms 51 (4) (2017), 631-673.
- Michael Drmota, Lander Ramos, Clément Requilé, Juanjo Rué: Maximal independent sets and maximal matchings in series-parallel and related graph classes. The Electronic Journal of Combinatorics, 27(1):P1.5, 2020.
- Michael Drmota, Mariusz Skalba: Equidistribution of Divisors and Representations by Binary Quadratic Forms (with Mariusz Skalba), Int. J. Number Theory 9 (8), 2011-2018, 2013.
- Michael Drmota, Benedikt Stufler: Pattern occurrences in random planar maps. Statistics and Probability Letters. to appear.
- Michael Drmota, Wojciech Szpankowski: A Master Theorem for Discrete Divide and Conquer Recurrences, Journal ACM 60 (3), Article 16, 49 p,
- Michael Drmota, Wojciech Szpankowski: Redundancy of Lossless Data Compression for Known Sources by Analytic Methods. Foundations and Trends in Communications and Information Theory. Vol. 13: No. 4, pp 277--417, 2017.
- Michael Drmota, Guan-Ru Yu: The number of double triangles in random planar maps. Proceedings AofA 2018. Leibniz International Proceedings in Informatics. Vol. 110, pp 19:1-19:18, 2018.
- Michael Drmota: Embedded trees and the support of the ISE, Europ. J. Combinat. 34, 123-137, 2013.
- Michael Drmota: Subsequences of automatic sequences and uniform distribution , Proceedings RICAM Workshop "Uniform Distribution and Quasi-Monte Carlo Methods", in: "Radon Series on Computational and Applied Mathematics" 15 (P. Kritzer, H. Niederreiter, F. Pillichshammer, A. Winterhof eds), DeGruyter, pp. 87--104, 2014.
- Michael Drmota: The discrepancy of generalized Van-der-Corput sequences , Indagationens Math. 26, Issue 5, 748-759, 2015.
- Hao Du, Jing Guo, Ziming Li, Elaine Wong: An additive decomposition in logarithmic towers and beyond. Proceedings of the International Symposium on Symbolic and Algebraic Computation (ISSAC), 2020. To appear
- John Duncan, Pavel Etingof, Ivan Ip, Mikhail Khovanov, Matvei Libine, Anthony Licata, Alistair Savage, Michael Schlosser: On the work of Igor Frenkel Contemp. Math.,610:121, 2014.
- Parama Dutta, Manjil P. Saikia: On deficient perfect numbers with four distinct prime factors. Asian-European Journal of Mathematics. To appear.
- Han Feng, Christian Krattenthaler, Yuan Xu: Best polynomial approximation on the triangle, J. Approx. Theory 241 (2019), 63-78.
- Ilse Fischer, Matjaž Konvalinka: The first bijective proof of the refined ASM theorem.Sém. Lothar. Combin. 84B (2020), FPSAC'20 and LIPIcs, AofA 2020.
- Ilse Fischer, Matjaž Konvalinka: A bijective proof of the ASM theorem, Part I: the operator formula. Preprint.
- Ilse Fischer, Matjaž Konvalinka: A bijective proof of the ASM theorem, Part II: ASM enumeration and ASM-DPP relation. Preprint.
- Ilse Fischer, Manjil P. Saikia: Refined enumeration of symmetry classes of alternating sign matrices. Preprint
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Ilse Fischer: Constant term formulas for refined enumerations of Gog and Magog trapezoids. J. Combin. Theory, Ser. A 158 (2018), 560 -- 605.
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Ilse Fischer: Enumeration of alternating sign triangles using a constant term approach. Trans. Amer. Math. Soc. 372 (2019), 1485 -- 1508.
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Ilse Fischer: A constant term approach to enumerating alternating sign trapezoids. Adv. Math. 356 (2019).
- Matthias Fischmann, Christian Krattenthaler, Petr Somberg: On conformal powers of the Dirac operator on Einstein manifolds, Math. Zeitschr. 280 (2015), 825-839.
- Maria Francis, Thibaut Verron: A Signature-Based Algorithm for Computing Gr\"obner Bases over Principal Ideal Domains. Mathematics in Computer Science, February 2018. To appear.
- Maria Francis, Thibaut Verron: Signature-based Möller's algorithm for strong Gröbner bases over PIDs. ArXiv preprint 1901.09586.
- Shishuo Fu, Emma Yu Jin, Zhicong Lin, Sherry H.F. Yan, Robin D.P. Zhou: A new decomposition of ascent sequences and Euler-Stirling statistics. Journal of Combinatorial Theory A, 170 (2020), article 105141.
- Michael Fuchs, Guan-Ru Yu, Louxin Zhang: On the Asymptotic Growth of the Number of Tree-Child Networks. Preprint.
- Patrick X. Gallagher, Michael Larsen, Alexander Rossi Miller: Many zeros of many characters of GL(n,q), preprint.
- Danièle Gardy, Bernhard Gittenberger, Markus Kuba, Èlie de Panafieu: 2-XOR revisited: satisfiability and probabilities of functions. Algorithmica, to appear.
- Danièle Gardy, Bernhard Gittenberger, Markus Kuba, Èlie de Panafieu: Probabilities of 2-XOR functions. LATIN 14, Lecture Notes in Computer Science (LNCS), 8392:454-465, Springer, Berlin, 2014.
- Frank Garvan, Michael Schlosser: Combinatorial interpretations of Ramanujan's tau function. preprint
- Antoine Genitrini, Bernhard Gittenberger, Cécile Mailler: No Shannon-effect induced by And/Or trees. Discrete Math. Theoret. Computer Science Proceedings BA (2014), 109120.
- Antoine Genitrini, Bernhard Gittenberger, Veronika Kraus, Cécile Mailler: Erratum to: Probabilities of Boolean functions given by random implicational formulas. Electronic Journal of Combinatorics. 19 (2014), 6 pages.
- Antoine Genitrini, Bernhard Gittenberger, Veronika Kraus, Cécile Mailler: Associative and commutative tree representations for Boolean functions. Theoretical Computer Science, 570:70-101, 2015.
- Antoine Genitrini, Bernhard Gittenberger, Manuel Kauers, Michael Wallner: Asymptotic enumeration of compacted binary trees. Journal of Combinatorial Theory A, 172:105--177, 2020.
- Antoine Genitrini, Bernhard Gittenberger, Manuel Kauers, Michael Wallner: Asymptotic enumeration of compacted binary trees of bounded right height. Journal of Combinatorial Theory, Ser. A, 172 (2020), article 105177.
- Harmonic interpolation based on Radon projections along the sides of regular polygons. Central European Journal of Mathematics 11(4), pp. 609-620. 2013. ISSN 1895-1074.
- Computer-Assisted Proofs of Some Identities for Bessel Functions of Fractional Order. In: Computer Algebra in Quantum Field Theory: Integration, Summation and Special Functions, C. Schneider, J. Bluemlein (ed.), Texts and Monographs in Symbolic Computation , pp. 75-96. 2013. Springer, ISBN-13: 978-3709116159. arXiv:1305.4818 [cs.SC].
- Sudhir R. Ghorpade, Christian Krattenthaler: Computation of the a-invariant of ladder determinantal rings, J. Alg. Appl. 14 (2015), Art. 1540014, 24 pages.
- Eugenio Giannelli, Alexander Rossi Miller: Character restrictions and reflection groups. J. Algebra 531 (2019), 336-348.
- Tomack Gilmore: Interactions between interleaving holes in a sea of unit rhombi. Adv. in Appl. Math. 98 (2018), 155-183.
- Tomack Gilmore: Three interactions of holes in two dimensional dimer systems.
- Tomack Gilmore: Holey matrimony: marrying two approaches to a tiling problem. Sém. Lothar. Combin. 78B (2017), Art. 26, 12 pp.
- Bernhard Gittenberger, Emma Yu Jin, Michael Wallner: A note on the scaling limits of random Polya trees. Proceedings Analco 2017.
- Bernhard Gittenberger, Emma Yu Jin, Michael Wallner: On the shape of random Pólya structures. Discrete Mathematics, 341 (2018), 896911.
- Bernhard Gittenberger, Isabella Larcher: On the number of variables in special classes of random lambda-terms. LIPIcs, 110 AofA 2018 (2018), 25:125:14.
- Bernhard Gittenberger, Isabella Larcher: Distribution of variables in lambda-terms with restrictions on De Bruijn indices and De Bruijn levels. Electronic Journal of Combinatorics, 26, no. 4 (2019), P4.47.
- Bernhard Gittenberger, Zbigniew Gołębiewski: On the number of lambda terms with prescribed size of their De Bruijn representation. Proceedings of the 33rd Symposium on Theoretical Aspects of Computer Science (STACS 2016), 40:1--40:13, 2016.
- Bernhard Gittenberger, Zbigniew Gołębiewski, Isabella Larcher, Małgorzata Sulkowska: Protection numbers in simply generated trees and Pólya trees. Applicable Analysis and Discrete Mathematics, to appear. Preprint, 14 pages.
- Ivan Gonzalez, Karen Kohl, Lin Jiu, Victor H. Moll: An extension of the method of brackets. Part 1. Open Mathematics, 15:11811211, 2017.
- Ankush Goswami, Abhash Kumer Jha: On the parity of some partition functions. Submitted (11 pages), 2019.
- Ankush Goswami, Venkata Raghu Tej Pantangi: Some formulae for coecients in restriced q-products. submitted.
- Ankush Goswami, Venkata Raghu Tej Pantangi: On sums of coecients of polynomials related to the Borwein conjectures. submitted.
- Ankush Goswami: A q-Analogue for Euler's (6) = 6=945. Annals of Combinatorics, 23:801806, 2019.
- Georg Grasegger, Christoph Koutschan, Elias Tsigaridas: Lower bounds on the number of realizations of rigid graphs. Experimental Mathematics, 2018.
- Gert-Martin Greuel, Thorsten Koch, Peter Paule, Andrew Somese (eds.): Mathematical Software - ICMS 2016. Springer Lecture Notes in Computer Science 9725. ISBN 978-3-319-42431-6.
- Katarzyna Grygiel, Isabella Larcher: Unary prole of lambda terms with restricted De Bruijn indices. Discrete Math. Theoret. Computer Science Proceedings, to appear. Preprint, 18 pages, hal-02313735. Preprint.
- Ting Guo, Christian Krattenthaler, Yi Zhang: On (shape-)Wilf equivalence for words, Adv. Appl. Math. 100 (2018), 87-100.
- Ting Guo, Svetlana Poznanović: Hecke insertion and maximal increasing and decreasing sequences in fillings of stack polyominoes, Journal of Combinatorial Theory, Series A, Volume 176, November 2020, 105304
- Victor J.W. Guo, Christian Krattenthaler: Some divisibility properties of binomial and q-binomial coefficients, J. Number Theory 135 (2014), 167-184.
- James Haglund, Jeff Remmel, Meesue Yoo: p-Rook Numbers and Cycle Counting in C_p wreath S_n. In: Lattice path combinatorics and applications, G. E. Andrews, A. Krinik, C. Krattenthaler (eds.), 250-282, Dev. Math., 58, Springer, Cham, 2019.
- Ralf Hemmecke, Cristian-Silviu Radu: Construction of all Polynomial Relations among Dedekind Eta Functions of Level N. J. Symbolic Computation, 95:3952, 2019.
- Ralf Hemmecke, Cristian-Silviu Radu, Liangjie Ye: The Generators of all Polynomial Relations among Jacobi Theta Functions. Pages 259268 in: Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory, J. Blümlein, C. Schneider, and P. Paule (eds.). Texts and
Monographs in Symbolic Computation, Springer, 2019. - Ralf Hemmecke, Peter Paule, Cristian-Silviu Radu: Construction of Modular Function Bases for Γ0(121) related to p(11n + 6). Submitted 2019, 17 pages.
- Marijn J.H. Heule, Manuel Kauers, Martina Seidl: A family of schemes for multiplying $3\times3$ matrices with 23 coefficient multiplications. Communications in Computer Algebra, 53(3):118--121, 2019. Poster at ISSAC'19.
- Marijn J.H. Heule, Manuel Kauers, Martina Seidl: Local search for fast matrix multiplication. In Proceedings of SAT'19, pages 155--163, 2019.
- Marijn J.H. Heule, Manuel Kauers, Martina Seidl: New ways to multiply 3 x 3-matrices. ArXiv preprint 1905.10192. Under review.
- A. Hoang, Carsten Schneider (ed.).: Proc. RADCOR 2017. Proceedings of RADCOR 2017 - 13th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology), Proceedings of Science, 290, 2018.
- Christophe Hohlweg, Jean-Philippe Préaux, Vivien Ripoll: On the limit set of root systems of Coxeter groups acting on Lorentzian spaces. Comm. Algebra 48 (2020), no. 3, 1281-1304.
- Hans Höngesberg: A Fourfold Refined Enumeration of Alternating Sign Trapezoids. Preprint.
- Qing-Hu Hou, Christian Krattenthaler, Zhi-Wei Sun: On q-analogues of some series for & pi; and π<sup>2</sup>, Proc. Amer. Math. Soc. 147 (2019), 1953-1961.
- Hui Huang, Manuel Kauers: D-finite numbers. International Journal of Number Theory, 14(7):1827--1848, 2018.
- Maximilian Jaroschek, Manuel Kauers, Laura Kovacs: Lonely points in simplices. ArXiv preprint 1905.08747. Under review.
- David J. Jeffrey, Johannes Middeke: Matrix factoring by fraction-free reduction. pp 1-8. arXiv:1603.03565 [cs.SC].
- Emma Yu Jin: Heaps and two exponential structures, European Journal of Combinatorics 54 (2016), 87102.
- Emma Yu Jin: Outside nested decompositions of skew diagrams and Schur function determinants. European Journal of Combinatorics 67 (2018), 239267.
- Emma Yu Jin, Benedikt Stuer: Graph limits of random unlabelled k-trees. Combinatorics, Probability and Computing, to appear.
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Lin Jiu, Christoph Koutschan: Calculation and properties of zonal polynomials. Mathematics in Computer Science, 2020.
- Lin Jiu, Diane Yahui Shi: Matrix Representations for Multiplicative Nested Sums. Colloquium Math., 158:183194, 2019.
- Lin Jiu, Christophe Vignat: Connection coecients for higher-order Bernoulli and Euler polynomials: a random walk approach. Fibonacci Quarterly, 57(5): 8495, 2019.
- Lin Jiu, Tanay Wakhare, Christophe Vignat: Analytic Continuation for Multiple Zeta Values using Symbolic Representations. Intl. J. Number Theory, 16(3):579602, 2020.
- Lin Jiu: Integral representations of equally positive integer-indexed harmonic sums at innity. Results number theory, 3(10), pp. 14, 2017.
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Finding Hyperexponential Solutions of Linear ODEs by Numerical Evaluation. In: Proceedings of ISSAC'13, Manuel Kauers (ed.), pp. 211-218. 2013. isbn 978-1-4503-2059-7/13/06.
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Myrto Kallipoliti, Henri Mühle: The m-Cover Posets and Their Applications. Advances in Applied Mathematics 69 (2015), pages 65-108. Subjects: Combinatorics (math.CO).
- Anisse Kasraoui, Christian Krattenthaler: Enumeration of symmetric centered rhombus tilings of a hexagon, preprint, 48 pages.
- Ore Polynomials in Sage. ArXiv. Technical report no. 1306.4263, 2013.
- Integral D-Finite Functions. Proc of ISSAC 2015 pages 251--258
- Manuel Kauers, Marc Mezzarobba: Multivariate Ore polynomials in SageMath. Communications in Computer Algebra, 53(2):57--60, 2019. Software Demonstration at ISSAC'19.
- Hypercontractive inequalities via SOS, and the Frankl-R\"odl graph. In: Proceedings of SODA'14, tba (ed.), pp. ?-?. 2014. tba.
- Manuel Kauers, Peter Paule, Greg Reid: Workshop on Symbolic Combinatorics and Algorithmic Differential Algebra. ACM Communications in Computer Algebra 50(Issue 1), pp. 27-34. March 2016. 1932-2240
- Manuel Kauers, Gleb Pogudin: Bounds for substituting algebraic functions into D-finite functions. In Proceedings of ISSAC'17, pages 245--252, 2017.
- Manuel Kauers, Martina Seidl: Short proofs for some symmetric quantified boolean formulas. Information Processing Letters, 140:4--7, 2018.
- Manuel Kauers, Martina Seidl: Symmetries of quantified boolean formulas. In Proceedings of SAT'18, volume 10929 of LNCS, pages 199--216, 2018.
- Manuel Kauers, Martina Seidl, Doron Zeilberger: On the maximal minimal cube lengths in distinct DNF tautologies. Discrete Mathematics Letters, 2:47--51, 2019.
- Manuel Kauers, Thibaut Verron: Why you should remove zeros from data before guessing. Communications in Computer Algebra, 53(3):126--129, 2019. Poster at ISSAC'19.
- Manuel Kauers, Rong-Hua Wang: Lattice walks in the octant with infinite associated groups. Eletronic Notes in Discrete Mathematics, 61:701--709, 2017.
- Walks in the Quarter Plane with Multiple Steps. Proc of FPSAC 2015, DMTCS pages 25--36.
- On the length of integers in telescopers for proper hypergeometric terms. Journal of Symbolic Computation 66(1-2) pages 21--33, January/February 2015.
- Manuel Kauers, Doron Zeilberger: Factorization of C-finite sequences, January 2016, Preprint arXiv 1601.02756.
- Bounds for D-Finite Closure Properties. Proc ISSAC 2014 pages 288-295.
- Manuel Kauers: Computer Algebra, Chapter 15 in: Miklos Bona (editor), Handbook of Enumerative Combinatorics, pages 975--1046. March 2015. Taylor and Francis.
- : The Holonomic Toolkit. In: Computer Algebra in Quantum Field Theory: Integration, Summation and Special Functions, Johannes Bluemlein and Carsten Schneider (ed.), pp. 119-144. 2013. Springer.
- Daniela Kaufmann, Armin Biere, Manuel Kauers: Verifying large multipliers by combining SAT and computer algebra. In Proceedings of FMCAD'19, pages 28--36, 2019.
- Daniela Kaufmann, Armin Biere, Manuel Kauers: SAT, computer algebra, multipliers. In Proc. 5th and 6th Vampire Workshops, volume 71 of EPiC Series in Computing, pages 1--18, 2020.
- Zsofia R. Kereskényiné Balogh, Michael Schlosser: q-Stirling numbers of the second kind and q-Bell numbers for graphs. Electronic Notes in Discr. Math. 6 pp., to appear.
- Tom H. Koornwinder, Michael Schlosser: On an identity by Chaundy and Bullard. II. More history [Indag. Math. (N.S.) 24 (1) (2013), 174-180]
- Nishad Kothari, Marcelo H. de Carvalho, Cláudio L. Lucchesi, Charles H. C. Little: On essentially 4-edge-connected cubic bricks. Elect. J. Combin. 27(1) (2020), # P1.22.
- Christoph Koutschan, Peter Paule, Sergei K. Suslov: Relativistic Coulomb Integrals and Zeilberger's Holonomic Systems Approach II. In: Algebraic and Algorithmic Aspects of Differential and Integral Operators, Moulay Barkatou and Thomas Cluzeau and Georg Regensburger and Markus Rosenkranz (ed.), Lecture Notes in Computer Science 8372, pp. 135-145. 2014. Springer, Berlin Heidelberg, ISBN 978-3-642-54478-1.
- Christoph Koutschan, Peter Paule: Holonomic Tools for Basic Hypergeometric Functions. In: Frontiers of Orthogonal Polynomials and q-Series, Xin Li, Zuhair Nashed (ed.), pp. ?-?. 2018. World Scientific Publishing, ISBN 978-981-3228-87-0.
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Christoph Koutschan, Thotsaporn Thanatipanonda: A curious family of binomial determinants that count rhombus tilings of a holey hexagon. Journal of Combinatorial Theory, Series A, 166:352–381, 2019.
- Christoph Koutschan, Elaine Wong: Exact lower bounds for monochromatic Schur triples and generalizations. Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra, Texts & Monographs in Symbolic Computation, Springer, 2020.
- Christian Krattenthaler, Sergey I. Kryuchkov, Alexander Mahalov, Sergei K. Suslov: On the problem of electromagnetic-field quantization, Int. J. Theoret. Phys. 12 (2013), 4445-4460.
- Infinite Product Formulae for Generating Functions for Sequences of Squares. 2019.
- Christian Krattenthaler, Henri Mühle: The rank enumeration of certain parabolic non-crossing partitions, preprint, 31 pages.
- Christian Krattenthaler, Thomas W. Müller: A Riccati differential equation and free subgroup numbers for lifts of PSL2(Z) modulo prime powers, J. Combin. Theory Ser. A 120 (2013), 2039-2063.
- Christian Krattenthaler, Thomas W. Müller: A method for determining the mod-3^k behaviour of recursive sequences, June 2015.
- Christian Krattenthaler, Thomas W. Müller: A method for determining the mod-pk behaviour of recursive sequences, preprint, 36 pages.
- Christian Krattenthaler, Thomas W. Müller: Generalised Apéry numbers modulo 9, J. Number Theory 147 (2015), 708-720.
- Christian Krattenthaler, Thomas W. Müller: Periodicity of free subgroup numbers of virtually free groups modulo prime powers, J. Algebra 452 (2016), 372-389
- Christian Krattenthaler, Thomas W. Müller: Truncated versions of Dwork's lemma for exponentials of power series and p-divisibility of arithmetic functions, Adv. Math. 283 (2015), 489-529.
- Christian Krattenthaler, Thomas W. Müller: Normalising graphs of groups, 16 pages, Monatsh. Math. 185 (2018), 269-286.
- Christian Krattenthaler, Thomas W. Müller: Motzkin numbers and related sequences modulo powers of 2, Europ. J. Combin. 73 (2018), 114-137.
- Christian Krattenthaler, Thomas W. Müller, Free subgroup numbers modulo prime powers: the non-periodic case, J. Combin. Theory Ser. A 154 (2018), 49-76.
- Christian Krattenthaler, Michael Schlosser: The major index generating function of standard Young tableaux of shapes of the form "staircase minus rectangle", Contemporary Math 627 (2014): 111--122.
- Christian Krattenthaler, Carsten Schneider: Evaluation of binomial double sums involving absolute values, Algorithmic Combinatorics - Enumerative Combinatorics, Special Functions and ComputerAlgebra, Texts & Monographs in Symbolic Computation, Springer, in press, 2020.
- Christian Krattenthaler, Daniel Yaqubi: Some determinants of path generating functions,II, Adv. Appl. Math. 101 (2018), 232-265.
- Christian Krattenthaler, Wadim Zudilin: Hypergeometry inspired by irrationality questions, Kyushu J. Math. 73 (2019), 189-203.
- Christian Krattenthaler: Bijections between oscillating tableaux and (semi)standard tableaux via growth diagrams, J. Combin. Theory Ser. A 144 (2016), 277-291.
- Christian Krattenthaler: Lattice Path Enumeration, in: Handbook of Enumerative Combinatorics, M. Bona (ed.), Discrete Math. and Its Appl., CRC Press, Boca Raton-London-New York, 2015, pp. 589-678.
- Christian Krattenthaler: Plane partitions in the work of Richard Stanley and his school, 33 pages; in: ``The Mathematical Legacy of Richard P. Stanley" P. Hersh, T. Lam, P. Pylyavskyy and V. Reiner (eds.), Amer. Math. Soc., R.I. (to appear).
- Christian Krattenthaler: Congruences modulo powers of 2 for the number of unique path partitions, in: Number theory in Honor of Krishna Alladi's 60th Birthday, F. G. Garvan (ed.), Springer Proceedings in Mathematics & Statistics, Springer-Verlag Cham, 2018, pp. 401-408.
- Brandt Kronholm: A. Larsen Symmetry and Prime Divisibility Properties of Partitions of $n$ into Exactly $m$ Parts. Annals of Combinatorics, pp. -. March 2014. Springer Basel, Basel, Switzerland, ISSN 0218-0006.
- Brandt Kronholm: Generalized Congruence Properties of the Restricted Partition Function p(n, m). The Ramanujan Journal 30(3), pp. 425-436. 2013. 1572-9303.
- Johannes Middeke, David J. Jeffrey: Matrix factoring by fraction-free reduction. pp 1-8, 2016.
- Johannes Middeke, David J. Jeffrey, Christoph Koutschan: Common factors in fraction-free matrix decompositions. pp 1–16, 2020. To appear in Mathematics in Computer Science.
- Johannes Middeke, Carsten Schneider: Denominator bounds for higher order systems of linear recurrence equations. ACM Communication in Computer Algebra (Poster Presentation at ISSAC 2016) 50(4), pp. 185-187, 2016.
- Johannes Middeke, Carsten Schneider: Denominator bounds for systems of recurrence equations using Π Σ-extensions. In Advances in Computer Algebra, Springer Proceedings in Mathematics & Statistics 226, pages 149173, 2018.
- Johannes Middeke, Carsten Schneider: Towards a Direct Method for Finding Hypergeometric Solutions of Linear First Order Recurrence Systems (poster presentation at ISSAC 2018). In: ACM Communications in Computer Algebra, Vol. 52(3), Issue 205, 2018.
- Johannes Middeke: Denominator bounds and polynomial solutions for systems of q-recurrences over K(t) for constant K. In: Proceedings of 42th International Symposium on Symbolic and Algebraic Computation, Michael Burr (ed.), pp. 325-332. 2017.
- Alexander Rossi Miller: Dense proportions of zeros in character values. C. R. Math. Acad. Sci. Paris 357 (2019), no. 10, 771-772.
- Alexander Rossi Miller: On parity and characters of symmetric groups. J. Combin. Theory Ser. A 162 (2019), 231-240.
- Alexander Rossi Miller: Congruences in character tables of symmetric groups,
- Alexander Rossi Miller: On roots of unity and character values, preprint.
- A note on uniform approximation of functions having a double pole. LMS J. Comput. Math. 17(1), pp. 233-244. 2014.
- Formal Laurent Series in Several Variables. Expositiones Mathematicae 31(4), pp. 350-367. 2013. ISSN 0723-0869.
- Henri Mühle, Vivien Ripoll: Connectivity properties of factorization posets in generated groups. Sém. Lothar. Combin. 80B (2018), Art. 56, 12 pp.
- Henri Mühle: A Heyting Algebra on Dyck Paths of Type A and B. Order 34 (2017), no. 2, 327-348.
- Christoph Neumann, Robin Sulzgruber: A complexity theorem for the Novelli-Pak-Stoyanovskii algorithm. J. Combin. Theory Ser. A 135 (2015), 85104.
- An extension of Turan's inequality for ultraspherical polynomials. Mathematical Inequalities & Applications 18(1), pp. 321335. 2015.
- Marc Noy, Clément Requilé, Juanjo Rué: Asymptotic enumeration of labelled 4-regular planar graphs. manuscript.
- Marc Noy, Clément Requilé, Juanjo Rué: Enumeration of labelled 4-regular planar graphs. Proceedings of the London Mathematical Society 119(2) (2019), 358-378.
- Marc Noy, Clément Requilé, Juanjo Rué: Further results on random cubic planar graphs. Random Structures and Algorithms 56 (3) (2020), 892-924.
- Evans Doe Ocansey, Carsten Schneider: Representation of hypergeometric products in dierence rings. ACM Communication in Computer Algebra (Poster Presentation at ISSAC 2016), 50(4), pp. 161-163. 2016.
- Evans Doe Ocansey, Carsten Schneider: Representing (q-)hypergeometric products and mixed versions in difference rings. In Advances in Computer Algebra, Springer Proceedings in Mathematics & Statistics 226, pages 175213, 2018.
- Evans Doe Ocansey: Difference ring algorithms for nested products. PhD thesis, J. Kepler University Linz, December 2019.
- Elie de Panafieu, Daniele Gardy, Bernhard Gittenberger, Markus Kuba: Probabilities of 2-Xor functions. In Proceedings of LATIN'14, Lecture Notes in Computer Science (LNCS) 8392 (2014), 454465.
- Elie de Panafieu, Daniele Gardy, Bernhard Gittenberger, Markus Kuba: 2-Xor revisited: satisfiability and probabilities of functions. Algorithmica, 76 (2016), 10351076.
- Élie de Panafieu, Lander Ramos: Graphs with Degree Constraints. Proceedings of ANALCO'16, pp. 34--45, 2016.
- Élie de Panafieu, Vlady Ravelomanana: Analytic Description of the Phase Transition of Inhomogeneous Multigraphs. European Journal of Combinatorics.
- Élie de Panafieu: Enumeration and structure of inhomogeneous graphs. Proc of FPSAC 2015.
- Élie de Panafieu: Counting Connected Graphs with Large Access. Proceedings of FPSAC'16, 2016.
- Élie de Panafieu: Phase Transition of Random Non-Uniform Hypergraphs. Journal of Discrete Algorithms.
- Peter Paule, Cristian-Silviu Radu: Partition Analysis, Modular Functions, and Computer Algebra. Pages 511543 in: Recent Trends in Combinatorics, A. Beveridge, J.R. Griggs, L. Hogben, G. Musiker, and P. Tetali (eds.). IMA Volume in Math. and Appls. 159, 2016.
- A New Witness Identity for $11|p(11n+6)$. Pages 625-639 in: Analytic Number Theory, Modular Forms and q-Hypergeometric Series. G.E. Andrews and F. Garvan (eds.). Springer PROMS Vol 221, 2017.
- : Rogers-Ramanujan Functions, Modular Functions, and Computer Algebra. Pages 229-280 in Advances in Computer Algebra. C. Schneider and E. Zima (eds.). Springer PROMS Vol 226, 2018. ISBN 978-3-319-73231-2.
- Peter Paule, Silviu Radu: A Unified Algorithmic Framework for Ramanujan's Congruences Modulo Powers of 5, 7, and 11. 2018.
- : A Proof of the Weierstraÿ Gap Theorem not using the Riemann-Roch Formula. Annals of Combinatorics, 23:9631007, 2019.
- : A unied algorithmic framework for Ramanujan's congruences modulo powers of 5, 7, and 11. Submitted 2020, 49 pages.
- : Holonomic Relations for Modular Functions and Forms: First Guess, then Prove. Submitted 2020, 46 pages. preprint.
- : An algorithm to prove holonomic dierential equations for modular forms. Submitted 2020, 48 pages. Preprint.
- Peter Paule, Carsten Schneider: Towards a symbolic summation theory for unspecified sequences. Pages 351-390 in: Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory, J. Blümlein, C. Schneider, and P. Paule (eds.). Texts and Monographs in Symbolic
Computation, Springer, 2019. - Peter Paule, Sergei K. Suslov: Relativistic Coulomb Integrals and Zeilbergers Holonomic Systems Approach I. Pages 225241 in: Computer Algebra in Quantum Field Theory, C. Schneider and J. Blümlein (eds.). Texts and Monographs in Symbolic Computation, Springer, 2013.
- Peter Paule (editor): Mathematics, Computer Science and Logic A Never Ending Story. The Bruno Buchberger Festschrift, Springer, 2013.
- Veronika Pillwein, Carsten Schneider (ed.): Algorithmic Combinatorics - Enumerative Combinatorics, Special Functions and Computer Algebra. Texts & Monographs in Symbolic Computation, Springer. In press, 2020.
- An efficient procedure deciding positivity for a class of holonomic sequences. ACM Commun. Comput. Algebra 49(3), 9093, 2015. Accepted extended abstract from ISSAC'2015 poster presentation.
- A local Fourier convergence analysis of a multigrid method using symbolic computation. Journal of Symbolic Computation 63, pp. 1-20. 2014.
- Veronika Pillwein: An Introduction to Finite Element Methods. Proceedings of the 2015 ACM on International Symposium on Symbolic and Algebraic Computation. 2015, pp. 1920.
- Veronika Pillwein: Symbolic Computation and Finite Element Methods. In: CASC 2015, V.P. Gerdt, W. Koepf, W.M. Seiler, and E.V. Vorozhtsov (ed.), LNCS 9301, pp. 374-388. 2015. Springer-Verlag Berlin Heidelberg, 0302-9743.
- Termination Conditions for Positivity Proving Procedures. In: Proceedings of ISSAC'13, M. Kauers (ed.), pp. 315-322. 2013.
- On the positivity of the GillisReznickZeilberger rational function. Advances in Applied Mathematics 104, pp. 7584. 2019.
- Cristian-Silviu Radu, Nicolas Allen Smoot: A Method of Verifying Partition Congruences by Symbolic Computation. J. Symbolic Computation (to appear). Preprint (28 pages)
- Cristian-Silviu Radu: A Reduction Theorem of Certain Relations Modulo p Involving Modular Forms. 15 pages, to appear in: Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra, in Honour of Peter Paule on his 60th Birthday. V. Pillwein
and C. Schneider (eds). Springer Texts and Monographs in Symbolic Computation, 2020. ISBN 978-3-030-44558-4. - Dimbinaina Ralaivaosaona, Clément Requilé, Stephan Wagner: Block statistics in subcritical graph classes. Proceedings AofA 2020. Leibniz International Proceedings in Informatics. to appear.
- Ronny Ramlau, Christoph Koutschan, Bernd Hofmann: On the singular value decomposition of n-fold integration operators. Inverse Problems and Related Topics, Proceedings in Mathematics & Statistics, 310:237–256, Springer, 2020.
- Victor Reiner, Vivien Ripoll, Christian Stump: On non-conjugate Coxeter elements in well-generated reflection groups. Math. Z. 285 (2017), no. 3-4, 1041-1062.
- Daniela Ritirc, Armin Biere, Manuel Kauers: Column-wise verification of multiplies using computer algebra. In Proceedings of FMCAD'17, pages 23--30, 2017.
- Daniela Ritirc, Armin Biere, Manuel Kauers: Improving and extending the algebraic approach for verifying gate-level multipliers. In Proceedings of DATE'18, pages 1556--1561, 2018.
-
Michael Schlosser, Koushik Senapati, Ali K. Uncu: Log-concavity results for a biparametric and an elliptic extension of the q-binomial coefficients. pp 1-17, 2020. Under review.
- Michael Schlosser, Meesue Yoo: Some combinatorial identities involving noncommuting variables. DMTCS proc. FPSAC'15 (2015), 961972.
- Michael Schlosser, Meesue Yoo: Elliptic rook and file numbers [53 pp., preprint]
- Michael Schlosser, Meesue Yoo: Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation. Journal-ref: SIGMA 12 (2016), 039, 21 pages.
- Michael Schlosser, Meesue Yoo: An elliptic extension of the general product formula for augmented rook boards. European J. Combin. 58 (2016), 247-266.
- Michael Schlosser, Meesue Yoo: Elliptic extensions of the alpha-parameter model and of the rook model for matchings. preprint
- Michael Schlosser, Meesue Yoo: Basic hypergeometric summations from rook theory. preprint
- Michael Schlosser: Multiple hypergeometric series - Appell series and beyond [in Computer Algebra in Quantum Field Theory: Integration, Summation and Special Functions (J. Blümlein and C. Schneider, eds.), Texts & Monographs in Symbolic Computation, Springer-Verlag, Heidelberg/Vienna, 2013; pp. 305-324]
- Michael Schlosser: Hypergeometric functions given by root system patterned power series. Encyclopedia of Special Functions (eds. M. E. H. Ismail and W. Van Assche), Cambridge Univ. Press. Vol. 5: Multivariable Special Functions. 25 pp., preprint.
- Carsten Schneider, Johannes Blümlein (ed.): Computer Algebra in Quantum Field Theory: Integration, Summation and Special Functions, Texts and Monographs in Symbolic Computation, 2013. Springer Wien, 2013. ISBN 978-3-7091-1616-6.
- Carsten Schneider, Robin Sulzgruber: Asymptotic and exact results on the complexity of the Novelli-Pak-Stoyanovskii algorithm. Electron. J. Combin. 24 (2017), no. 2, Paper No. 2.28, 33 pp.
- Carsten Schneider, Eugene Zima (ed.): Advances in Computer Algebra, Springer Proceedings in Mathematics & Statistics 226, Springer (280 pp), 2018.
- Carsten Schneider, Wadim Zudilin: A case study for ζ(4). pp 1-14, 2020. Under review.
- Carsten Schneider: A Difference Ring Theory for Symbolic Summation. J. Symb. Comput. 72, pp. 82-127. 2016. ISSN 0747-7171. arXiv:1408.2776 [cs.SC].
- Carsten Schneider: A streamlined difference ring theory: Indefinite nested sums, the alternating sign and the parameterized telescoping problem. In: Symbolic and Numeric Algorithms for Scientific Computing (SYNASC), 2014 15th International Symposium, Franz Winkler, Viorel Negru, Tetsuo Ida, Tudor Jebelean, Dana Petcu, Stephen Watt, Daniela Zaharie (ed.), pp. 26-33. 2014. IEEE Computer Society, ISBN-13:978-1-4799-8448-0. arXiv:1412.2782v1 [cs.SC].
- Carsten Schneider: Fast Algorithms for Refined Parameterized Telescoping in Difference Fields. In: Computer Algebra and Polynomials, Applications of Algebra and Number Theory, Jaime Gutierrez, Josef Schicho, Martin Weimann (ed.), Lecture Notes in Computer Science (LNCS) 8942, pp. 157-191. 2015. Springer, ISSN: 0302-9743 . arXiv:1307.7887 [cs.SC].
- Carsten Schneider: Modern Summation Methods for Loop Integrals in Quantum Field Theory: The Packages Sigma, EvaluateMultiSums and SumProduction. In: Proc. ACAT 2013, , J. Phys.: Conf. Ser. 523/012037, pp. 1-17. 2014. ISSN 1742-6596. arXiv:1310.0160 [cs.SC].
- Carsten Schneider: Simplifying Multiple Sums in Difference Fields. In: Computer Algebra in Quantum Field Theory: Integration, Summation and Special Functions, C. Schneider, J. Bluemlein (ed.), Texts and Monographs in Symbolic Computation , pp. 325-360. 2013. Springer, ISBN-13: 978-3709116159.
- Carsten Schneider: Summation Theory II: Characterizations of RΠΣ-extensions and algorithmic aspects. J. Symb. Comput. 80(3), pp. 616-664. 2017.
- Carsten Schneider: Symbolic Summation in Difference Fields and Its Application in Particle Physics. Computer Algebra Rundbrief 53, pp. 8-12. 2013. ISSN 0933-5994.
- Carsten Schneider: Symbolic Summation in Dierence Rings and Applications (extended abstract, 4 pages). Proc. ISSAC 2016, M. Rosenkranz (ed.), pp. 9-12. 2016.
- Carsten Schneider: Minimal representations and algebraic relations for single nested products. Programming and Computer Software 46(2), pp. 133-161. 2020.
- Carsten Schneider: The Absent-Minded Passengers Problem: A Motivating Challenge Solved by Computer Algebra. pp 1-11, 2020. Under review.
- Miriam Schussler: demo-inequalities.nb.
http://www.risc.jku.at/research/combinat/software/ergosum/RISC/SumCracker.html. - Lukas Spiegelhofer, Michael Wallner: Divisibility of binomial coefficients by powers of primes. Journal of Number Theory, 192 (2018), 221239.
- Lukas Spiegelhofer, Michael Wallner: The Tu-Deng conjecture holds almost surely. Electronic Journal of Combinatorics, 26 (2019), Paper 1.28, 28pp.
- Robin Sulzgruber, Marko Thiel: On parking functions and the zeta map n types B, C and D. Electron. J. Combin. 25 (2018), no. 1, Paper 1.8, 82 pp.
- Robin Sulzgruber: Rational Shi tableaux and the skew length statistic.
- Robin Sulzgruber: Symmetry properties of the Novelli-Pak-Stoyanovskii algorithm. DMTCS Proceedings, FPSAC 2014, Chicago.
- Robin Sulzgruber: Building reverse plane partitions with rim-hook-shaped bricks. Sém. Lothar. Combin. 78B (2017), Art. 65, 12 pp.
- Marko Thiel, Nathan Williams: Strange Expectations. J. Algebraic Combin. 46 (2017), no. 1, 219-261.
- Marko Thiel: From Anderson to Zeta. Adv. in Appl. Math. 81 (2016), 156-201.
- Amélie Trotignon: Discrete harmonic functions in the three-quarter plane. ArXiv preprint 1906.08082, 2019. Under review.
- Ali K. Uncu: On a weighted spin on the Lebesgue identity. Mathematical Aspects of Computer and Information Sciences. In: Mathematical Aspects ofComputer and Information Sciences, Springer International Publishing, pp 273-279, Daniel Slamanig, Elias Tsigaridas, Zafeirakis Zafeirakopoulos (ed.), 2020.
- Ali K. Uncu: On double sum generating functions in connection with some classical partition theorems. pp 1-20, 2018. Under review.
- Ali K. Uncu: A polynomial identity implying Schur's partition theorem. Proc. Amer. Math. Soc. in press.
- Tristan Vaccon, Thibaut Verron, Kazuhiro Yokoyama: On affine tropical F5 algorithms. Proc. ISSAC'18, 2018.
- Mark van Hoeij, Cristian-Silviu Radu: Computing an order complete basis for M1(N) and applications. Submitted 2020, 6 pages.
- Michael Wallner: A half-normal distribution scheme for generating functions and the unexpected behavior of Motzkin paths. European
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