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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

Berkovich A., Uncu A. K.. On some polynomials and series of Bloch-Polya Type. ArXiv e-prints (to appear in Proc. of AMS ), pp. -. 2018. Preprint. [bib]
Berkovich A., Uncu A. K.. Some Elementary Partition Inequalities and Their Implications. ArXiv e-prints (submitted), pp. -. 2018. Preprint. [bib]
Ralf Hemmecke, Silviu Radu. Construction of all Polynomial Relations among Dedekind Eta Functions of Level $N$. Technical report no. 18-03 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. January 26 2018. [pdf] [bib]
Ralf Hemmecke. Dancing Samba with Ramanujan Partition Congruences. Journal of Symbolic Compuation 84, pp. 14-24. 2018. ISSN 0747-7171. [url] [bib]
A. Jimenez-Pastor and V. Pillwein. Algorithmic Arithmetics with DD-Finite Functions . DK Computational Mathematics. Technical report no. 2018-03, Feb 2018. [url] [bib]
Ivan Gonzalez, Karen Kohl, Lin Jiu, and Victor H. Moll. The Method of Brackets in Experimental Mathematics. In: Frontiers in Orthogonal Polynomials and q-Series, Xin Li, Zuhair Nashed (ed.), pp. -. 2018. World Scientific Publishing, 978-981-3228-87-0. [url] [bib]
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. [pdf] [bib]
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), pp. 94-125. 2018. 2470-6566. [url] [bib]
Tobias Magnusson. The functional equation of Dedekind's $\eta$-function. June 15 2018. [tex] [pdf] [bib]
V. Pillwein. Positivity of the Gillis-Reznick-Zeilberger rational function. Technical report no. 18-05 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. 2018. [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. To appear in J. Math. Phys., pp. 1-68. 2018. ISSN 0022-2488. arXiv:1706.01299 [hep-th]. [url] [bib]
J. Ablinger, J. Blümlein, A. De Freitas, A. Goedicke, C. Schneider, K. Schönwald. The Two-mass Contribution to the Three-Loop Gluonic Operator Matrix Element $A_{gg, Q}^{(3)}$. Nucl. Phys. B 932, pp. 129-240. 2018. ISSN 0550-3213. arXiv:1804.02226 [hep-ph]. [url] [bib]
J. Middeke, C. Schneider. Denominator Bounds for Systems of Recurrence Equations using ΠΣ-Extensions. In: Advances in Computer Algebra. WWCA 2016., C. Schneider, E. Zima (ed.), Springer Proceedings in Mathematics & Statistics 226, pp. 149-173. 2018. Springer, ISSN 2194-1009. 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. WWCA 2016., C. Schneider, E. Zima (ed.), Springer Proceedings in Mathematics & Statistics 226, pp. 175-213. 2018. Springer, ISSN 2194-1009. arXiv:1705.01368 [cs.SC]. [url] [bib]
J. Blümlein, M. Round, C. Schneider. Refined Holonomic Summation Algorithms in Particle Physics. In: Advances in Computer Algebra. WWCA 2016., E. Zima, C. Schneider (ed.), Springer Proceedings in Mathematics & Statistics 226, pp. 51-91. 2018. Springer, ISSN 2194-1009. arXiv:1706.03677 [cs.SC]. [url] [bib]
J. Ablinger, J. Blümlein, A. De Freitas, C. Schneider, K. Schönwald. The two-mass contribution to the three-loop pure singlet operator matrix element. Nucl. Phys. B(927), pp. 339-367. 2018. ISSN 0550-3213. arXiv:1711.06717 [hep-ph]. [url] [bib]
C. Schneider, E. Zima (ed.). Advances in Computer Algebra. WWCA 2016. Springer Proceedings in Mathematics & Statistics, 226, 2018. Springer, ISSN 2194-1009. [url] [bib]
J. Ablinger, C. Schneider. Algebraic independence of sequences generated by (cyclotomic) harmonic sums. Annals of Combinatorics 22(2), pp. 213-244. 2018. ISSN: 0218-0006. arXiv:1510.03692 [cs.SC], doi 10.1007/s00026-018-0381-5. [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. Physical Review D 97(094022), pp. 1-44. 2018. ISSN 1550-2368. arXiv:1712.09889 [hep-ph]. [url] [bib]
J. Blümlein, A. De Freitas, C. Schneider, K. Schönwald. The Variable Flavor Number Scheme at Next-to-Leading Order. Physics Letters B 782, pp. 362-366. 2018. ISSN: 0370-2693. arXiv:1804.03129 [hep-ph]. [url] [bib]
J. Ablinger, J. Blümlein, P. Marquard, N. Rana, C. Schneider. Heavy Quark Form Factors at Three Loops in the Planar Limit. Physics Letters B In press, pp. 1-9. 2018. ISSN: 0370-2693. arXiv:1804.07313 [hep-ph]. [url] [bib]
J. Blümlein, C. Schneider. Analytic Computing Methods for Precision Calculations in Quantum Field Theory. INTERNATIONAL JOURNAL OF MODERN PHYSICS A (IJMPA) 33(1830015), pp. 1-35. 2018. ISSN: 1793-656X. [url] [bib]