RISC JKU

Algorithmic Combinatorics Publications

Type: [any] [Papers] [Theses] [Technical Reports] [Other
Author: [any] [Ablinger] [Paule] [Kauers] [Koutschan] [Pillwein] [Radu] [Schneider
Year: [any] [2024] [2023] [2022] [2021] [2020] [2019] [earlier

A. Becirovic, P. Paule, V. Pillwein, A. Riese, C. Schneider, J. Schoeberl. Hypergeometric Summation Algorithms for High Order Finite Elements. Computing 78(3), pp. 235-249. 2006. ISSN 0010-485X. Preliminary version available. [url] [pdf] [ps] [bib]
P.J. Larcombe, A. Riese, B. Zimmermann. Computer Proofs of Matrix Product Identities. J. Algebra Appl. 3, pp. 105-109. 2004. ISSN 0219-4988. [pdf] [bib]
G. E. Andrews, P. Paule, A. Riese. MacMahon's Partition Analysis X: Plane Partitions with Diagonals.. Southeast Asian Journal Mathematics and Mathematical Sciences 3, pp. 3-14. 2004. ISSN 0972-7752. [pdf] [bib]
A. Riese. qMultiSum -- A Package for Proving q-Hypergeometric Multiple Summation Identities. J. Symbolic Comput. 35, pp. 349-376. 2003. ISSN 0747-7171. [pdf] [bib]
A. Berkovich, A. Riese. A Computer Proof of a Polynomial Identity Implying a Partition Theorem of Göllnitz. Adv. in Appl. Math. 28, pp. 1-16. 2002. ISSN 0196-8858. [pdf] [bib]
R. Lyons, P. Paule, A. Riese. A Computer Proof of a Series Evaluation in Terms of Harmonic Numbers. Appl. Algebra Engrg. Comm. Comput. 13, pp. 327-333. 2002. ISSN 0938-1279. [pdf] [bib]
G.E. Andrews, P. Paule, A. Riese. MacMahon's Partition Analysis III: The Omega Package. European J. Combin. 22, pp. 887-904. 2001. ISSN 0195-6698. [pdf] [bib]
G.E. Andrews, P. Paule, A. Riese. MacMahon's Partition Analysis VI: A New Reduction Algorithm. Ann. Comb. 5, pp. 251-270. 2001. ISSN 0218-0006. [pdf] [bib]
G.E. Andrews, P. Paule, A. Riese. MacMahon's Partition Analysis VII: Constrained Compositions. In: q-Series with Applications to Combinatorics, Number Theory, and Physics, B.C. Berndt and K. Ono (ed.), Contemp. Math. 291, pp. 11-27. 2001. Amer. Math. Soc., ISBN 0-8218-2746-4. [pdf] [bib]
G.E. Andrews, P. Paule, A. Riese. MacMahon's Partition Analysis VIII: Plane Partition Diamonds. Adv. in Appl. Math. 27, pp. 231-242. 2001. ISSN 0196-8858. [pdf] [bib]
G.E. Andrews, P. Paule, A. Riese. MacMahon's Partition Analysis IX: k-Gon Partitions. Bull. Austral. Math. Soc. 64, pp. 321-329. 2001. ISSN 0004-9727. [pdf] [bib]
G.E. Andrews, P. Paule, A. Riese, V. Strehl. MacMahon's Partition Analysis V: Bijections, Recursions, and Magic Squares. In: Algebraic Combinatorics and Applications, A. Betten and others (ed.), pp. 1-39. 2001. Springer, ISBN 3-5404-1110-0. [pdf] [bib]
A. Riese. Fine-Tuning Zeilberger's Algorithm - The Methods of Automatic Filtering and Creative Substituting. In: Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics, F.G. Garvan and M.E.H. Ismail (ed.), Developments in Mathematics 4, pp. 243-254. 2001. Kluwer, ISBN 1-4020-0101-0. [pdf] [bib]
P. Paule, A. Riese. A Mathematica q-Analogue of Zeilberger's Algorithm Based on an Algebraically Motivated Approach to q-Hypergeometric Telescoping. In: Special Functions, q-Series and Related Topics, M.E.H. Ismail and M. Rahman (ed.), Fields Inst. Commun. 14, pp. 179-210. 1997. Amer. Math. Soc., ISBN 0-8218-0524-X. [pdf] [bib]
A. Riese. A Generalization of Gosper's Algorithm to Bibasic Hypergeometric Summation. Electron. J. Combin. 3(#R19), pp. 1-16. 1996. ISSN 1077-8926. [pdf] [bib]