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Algorithmic Combinatorics Publications

Type: [any] [Papers] [Theses] [Technical Reports] [Other
Author: [any] [Ablinger] [Paule] [Kauers] [Koutschan] [Pillwein] [Radu] [Schneider
Year: [any] [2017] [2016] [2015] [2014] [2013] [2012] [earlier

J. Ablinger. Discovering and Proving Infinite Binomial Sums Identities. Experimental Mathematics 26(1), pp. 62-71. 2017. ISSN 1058-6458. 10.1080/10586458.2015.1116028. [url] [bib]
J. Ablinger, J. Blümlein, A. De Freitas, A. Hasselhuhn, C. Schneider, F. Wißbrock. Three Loop Massive Operator Matrix Elements and Asymptotic Wilson Coefficients with Two Different Masses. Nucl. Phys. B. 921, pp. 585-688. 2017. ISSN 0550-3213. arXiv:1705.07030 [hep-ph]. [url] [bib]
Ivan Gonzalez, Karen Kohl, Lin Jiu, and Victor H. Moll. An extension of the method of brackets. Part 1. Open Mathematics (formerly Central European Journal of Mathematics) 15, pp. 1181-1211. 2017. 2391-5455. [url] [bib]
L. Jiu. Integral representations of equally positive integer-indexed harmonic sums at infinity. Research in Number Theory 3(10), pp. 1-4. 2017. 2363-9555. [url] [bib]
M. Gallet, C. Koutschan, Z. Li, G. Regensburger, J. Schicho, N. Villamizar. Planar linkages following a prescribed motion. Math. Comp. 87, pp. 473-506. 2017. ISSN: 1088-6842. [url] [bib]
Johannes Middeke. Denominator Bounds and Polynomial Solutions for Systems of q-Recurrences over K(t) for Constant K. In: Proceedings of the 2017 ACM on International Symposium on Symbolic and Algebraic Computation, Michael Burr (ed.), Proceedings of International Symposium on Symbolic and Algebraic Computation, pp. 325-332. 2017. 978-1-4503-5064-8. [bib]
Peter Paule, Cristian-Silviu Radu. Rogers-Ramanujan Functions, Modular Functions, and Computer Algebra. In: Advances in Computer Algebra - In Honour of Sergei Abramov's 70th Birthday, C. Schneider and E. Zima. (ed.), pp. 1-41. 2017. Springer, 1019-7168 . [pdf] [bib]
J. Ablinger, J. Blümlein, A. De Freitas, M. van Hoeij, E. Imamoglu, C.G. Raab, C.-S. Radu, C. Schneider. Iterated Elliptic and Hypergeometric Integrals for Feynman Diagrams. submitted, pp. 1-68. 2017. arXiv:1706.01299 [hep-th]. [url] [bib]
C. Schneider. Summation Theory II: Characterizations of $R\Pi\Sigma$-extensions and algorithmic aspects. J. Symb. Comput. 80(3), pp. 616-664. 2017. ISSN 0747-7171. arXiv:1603.04285 [cs.SC]. [url] [bib]
C. Schneider, R. Sulzgruber. Asymptotic and exact results on the complexity of the Novelli-Pak-Stoyanovskii algorithm. Electron. J. Combin. 24(2), pp. 1-33. 2017. ISSN: 1077-8926. #P2.28, arXiv:1606.07597. [url] [bib]
J. Blümlein, C. Schneider. The Method of Arbitrarily Large Moments to Calculate Single Scale Processes in Quantum Field Theory. Physics Letters B 771, pp. 31-36. 2017. ISSN 0370-2693. arXiv:1701.04614 [hep-ph]. [url] [bib]
J. Middeke, C. Schneider. Denominator Bounds for Systems of Recurrence Equations using ΠΣ-Extensions. In: Advances in Computer Algebra, C. Schneider, E. Zima (ed.), Springer Proceedings in Mathematics & Statistics , pp. 1-24. 2017. arXiv:1705.00280 [cs.SC]. [url] [bib]
E.D. Ocansey, C. Schneider. Representing (q-)hypergeometric products and mixed versions in difference rings. In: Advances in Computer Algebra,, C. Schneider, E. Zima (ed.), Springer Proceedings in Mathematics & Statistics , pp. 1-36. 2017. arXiv:1705.01368 [cs.SC]. [url] [bib]
J. Ablinger, A. Behring, J. Blümlein, A. De Freitas, A. von Manteuffel, C. Schneider. The Three-Loop Splitting Functions $P_{qg}^{(2)}$ and $P_{gg}^{(2, \rm N_F)}$. Nucl. Phys. B. 922, pp. 1-40. 2017. ISSN 0550-3213.. arXiv:1705.01508 [hep-ph]. [url] [bib]
J. Blümlein, M. Round, C. Schneider. Refined Holonomic Summation Algorithms in Particle Physics. In: Advances in Computer Algebra, E. Zima, C. Schneider (ed.), Springer Proceedings in Mathematics & Statistics , pp. 1-39. 2017. Springer, arXiv:1706.03677 [cs.SC]. [url] [bib]
J. Blümlein, A. De Freitas, C. Schneider, K. Schönwald. The Three Loop Two-Mass Contribution to the Gluon Vacuum Polarization. Cornell University. Technical report no. arXiv:1710.04500 [hep-ph], 2017. [bib]
xinhua xiong. Overpartitions and ternary quadratic forms. The Ramanujan Journal 42(2), pp. 429-442. 2017. issn:1382-4090. [bib]
Liangjie Ye. Elliptic Function Based Algorithms to Prove Jacobi Theta Function Relations. submitted, pp. 1-26. 2017. -. [pdf] [bib]
Liangjie Ye. A Symbolic Decision Procedure for Relations Arising among Taylor Coefficients of Classical Jacobi Theta Functions. Journal of Symbolic Computation 82, pp. 134-163. 2017. ISSN: 0747-7171. [pdf] [bib]
Liangjie Ye. Complex Analysis Based Computer Algebra Algorithms for Proving Jacobi Theta Function Identities. RISC and the DK program Linz. PhD Thesis. 2017. Updated version in June 2017. [pdf] [bib]