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K. Banerjee, P. Paule, C. S. Radu, W. H. Zeng. New inequalities for p(n) and log p(n). Research Institute for Symbolic Computation, JKU, Linz. Technical report no. RISC6607, 2022. To appear in the Ramanujan Journal. [pdf] [bib]
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Peter Paule, Silviu Radu. Holonomic Relations for Modular Functions and Forms: First Guess, then Prove. RISC. Technical report no. 20-14, 2020. [bib]
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Peter Paule, Silviu Radu. A UNIFIED ALGORITHMIC FRAMEWORK FOR RAMANUJAN'S CONGRUENCES MODULO POWERS OF 5, 7, AND 11. Technical report no. 19-09 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. submitted, 2019. [pdf] [bib]
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Peter Paule, Silviu Radu. Partition Analysis, Modular Functions, and Computer Algebra. Technical report no. 15-14 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. In Recent Trends in Combinatorics, IMA Volume 511-543, 2015. [pdf] [bib]
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Christoph Koutschan, Peter Paule, Sergei K. Suslov. Relativistic Coulomb Integrals and Zeilberger's Holonomic Systems Approach II. Technical report no. 13-04 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. 2013. Published in: Algebraic and Algorithmic Aspects of Differential and Integral Operators, Lecture Notes in Computer Science 8372, pp. 135-145, Springer-Verlag Berlin Heidelberg, 2014. ISBN 978-3-642-54478-1.. [pdf] [bib]
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Peter Paule, Sergei K. Suslov. Relativistic Coulomb Integrals and Zeilbergers Holonomic Systems Approach. I. Technical report no. 12-12 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. 2012. Published in: Computer Algebra in Quantum Field Theory Integration, Summation and Special Functions, Buchreihe: Texts & Monographs in Symbolic Computation, Verlag: Springer Vienna, Print ISBN: 978-3-7091-1615-9.. [pdf] [bib]
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Peter Paule, Silviu Radu. A Proof of Sellers' Conjecture. RISC. Technical report no. 09-17, 2009. [pdf] [bib]
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Peter Paule. Henrici's Friendly Monster Identity Revisited. Technical report no. 08-19 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. December 2008. Dedicated to Professor Georgy Egorychev on the occasion of his70th birthday. Published in: Advances in Combinatorial Mathematics pp 155-163, Springer.. [pdf] [bib]
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William Y. C. Chen, Peter Paule, Husam L. Saad. Converging to Gosper's Algorithm. Technical report no. 08-20 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. December 2008. Published in: Advances in Applied Mathematics Volume 41, Issue 3, September 2008, Pages 351-364.. [pdf] [bib]
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G. E. Andrews, P. Paule. MacMahon's Dream. SFB 013. Technical report, September 2006. SFB-report 2006-26. Published in: Partitions, q-Series, and Modular Forms pp 1-12, Springer.. [pdf] [bib]
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G. E. Andrews, P. Paule. MacMahon's Partition Analysis XI: The Search for Modular Forms. SFB 013. Technical report, 2006. SFB-report 2006-27. [pdf] [bib]
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G. E. Andrews, P. Paule. MacMahon's Partition Analysis XII: Plane Partitions. SFB 013. Technical report, September 2006. SFB-report 2006-28. Published in: Journal of the London Mathematical Society, Volume 76, Issue 3, 1 December 2007, Pages 647–666, https://doi.org/10.1112/jlms/jdm079.. [pdf] [bib]
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G. E. Andrews, P. Paule, A. Riese. MacMahon's Partition Analysis XI: Hexagonal Plane Partitions. J. Kepler University Linz. Technical report no. 2004-4, March 2004. SFB-Report. [pdf] [bib]
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G.E. Andrews, P. Paule, C. Schneider. Plane Partition VI: Stembridge's TSPP Theorem -- A detailed algorithmic proof. Technical report no. 04-08 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. May 2004. [pdf] [ps] [bib]
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