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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] [2018] [2017] [2016] [2015] [2014] [2013] [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. Computing the Inverse Mellin Transform of Holonomic Sequences using Kovacic's Algorithm. In: submitted, , pp. -. 2017. arXiv:1801.01039 [cs.SC]. [url] [bib]
Berkovich Alexander, Uncu Ali K.. Variation on a theme of Nathan Fine. New weighted partition identities. J. Number Theory 176, pp. 226-248. 2017. ISSN 0022-314X. [url] [bib]
Berkovich A., Uncu A. K.. On some polynomials and series of Bloch-Polya Type. ArXiv e-prints (to appear in Proc. of AMS ), pp. -. 2017. Preprint. [bib]
Berkovich A., Uncu A. K.. Some Elementary Partition Inequalities and Their Implications. ArXiv e-prints (submitted), pp. -. 2017. Preprint. [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]
A. Jimenez-Pastor, V. Pillwein. A computable extension for holonomic functions: DD-finite functions. DK Computational Mathematics. Technical report no. 2017-10, 12 2017. [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, A. Behring, J. Blümlein, A. De Freitas, E. Imamoglu, M. van Hoeij A. von Manteuffel, C.G. Raab, C.-S. Radu, C. Schneider. Iterative and Iterative-Noniterative Integral Solutions in 3-Loop Massive QCD Calculations. In: submitted, , pp. 1-13. 2017. arXiv:1711.09742 [hep-ph]. [url] [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]
A. Hoang, C. 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, 2017. ISSN 1824-8039. [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. 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, 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. [url] [bib]
J. Ablinger, A. Behring, J. Blümlein, A. De Freitas, A. von Manteuffel, C. Schneider. Heavy Flavor Wilson Coefficients in Deep-Inelastic Scattering: Recent Results. In: submitted, , pp. 1-11. 2017. arXiv:1711.07957 [hep-ph]. [url] [bib]
J. Ablinger, C. Schneider. Algebraic independence of sequences generated by (cyclotomic) harmonic sums. To appear in Annals of Combinatorics, pp. 1-27. 2017. ISSN: 0218-0006. arXiv:1510.03692 [cs.SC]. [url] [bib]
J. Ablinger, J. Blümlein, A. De Freitas, A. Goedicke, C. Schneider, K. Schönwald, F. Wißbrock. The massive 3-loop operator matrix elements with two masses and the generalized variable flavor number scheme., pp. 1-20. 2017. arXiv:1712.00745 [hep-ph]. [url] [bib]
Jakob Ablinger, Johannes Blümlein, Mark Round, Carsten Schneider. Special functions, transcendentals and their numerics. In: submitted, , pp. -. 2017. arXiv:1712.08541 [hep-th]. [url] [bib]
J. Ablinger, A. Behring, J. Bluemlein, G. Falcioni, A. De Freitas, P. Marquard, N. Rana, C. Schneider. The Heavy Quark Form Factors at Two Loops. submitted, pp. 1-131. 2017. arXiv:1712.09889 [hep-ph]. [url] [bib]
J. Ablinger, A. Behring, J. Blümlein, G. Falcioni, A. De Freitas, P. Marquard, N. Rana, C. Schneider. Heavy quark form factors at two loops in perturbative QCD. ACTA PHYSICA POLONICA B 48(12), pp. 2155-2166. 2017. ISSN 0587-4254. Presented at the XLI International Conference of Theoretical Physics “Matter to the Deepest”, Podlesice, Poland, September 3–8, 2017, arXiv:1711.04880 [hep-ph]. [url] [bib]
Uncu Ali Kemal. Weighted Rogers-Ramanujan partitions and Dyson crank. The Ramanujan Journal, pp. -. May 2017. ISSN 1572-9303. [url] [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. Journal of Symbolic Computation, to appear, pp. 1-25. 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]