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

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]
Nicolas Allen Smoot, Cristian-Silviu Radu. A method of verifying partition congruences by symbolic computation. Journal of Symbolic Computation 104, pp. 105-133. 2021. 0747-7171. [url] [pdf] [bib]
Peter Paule, Cristian-Silviu Radu. Holonomic relations for modular functions and forms: First guess, then prove. International Journal of Number Theory 17(3), pp. 713-759. 2021. World Scientific, 1793-0421. [url] [bib]
Ralf Hemmecke, Peter Paule, Silviu Radu. Construction of modular function bases for $Gamma_0(121)$ related to $p(11n+6)$. Integral Transforms and Special Functions 32(5-8), pp. 512-527. 2021. Taylor & Francis, 1065-2469. [url] [bib]
Peter Paule, Cristian-Silviu Radu. An algorithm to prove holonomic differential equations for modular forms. In: Transcendence in Algebra, Combinatorics, Geometry and Number Theory. TRANS 2019., Bostan A., Raschel K. (ed.), Springer Proceedings in Mathematics & Statistics 373, pp. 367-420. 2021. Springer, Cham, 978-3-030-84303-8. [url] [bib]
Mark van Hoeij and Cristian-Silviu Radu . Computing an order complete basis for M∞(N) and applications. In: Transcendence in Algebra, Combinatorics, Geometry and Number Theory. TRANS 2019, Bostan A., Raschel K. (ed.), Springer Proceedings in Mathematics & Statistics 373, pp. 355-366. 2021. Springer, Cham, 978-3-030-84303-8. [url] [bib]
Christian Krattenthaler, Mircea Merca, Cristian-Silviu Radu. Infinite product formulae for generating functions for sequences of squares. In: Transcendence in Algebra, Combinatorics, Geometry and Number Theory. TRANS 2019, Bostan A., Raschel K. (ed.), Springer Proceedings in Mathematics & Statistics 373, pp. 193-236. 2021. Springer, Cham, 978-3-030-84303-8. [url] [bib]
Radu, Cristian-Silviu. A reduction theorem of certain relations modulo p involving modular forms. In: Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra, in Honour of Peter Paule on his 60th Birthday, V. Pillwein, C. Schneider (ed.), pp. 317-337. 2020. Springer, 978-3-030-44558-4. [url] [pdf] [bib]
Peter Paule, Silviu Radu. Holonomic Relations for Modular Functions and Forms: First Guess, then Prove. RISC. Technical report no. 20-14, 2020. [bib]
Ralf Hemmecke, Silviu Radu. Construction of all Polynomial Relations among Dedekind Eta Functions of Level $N$. Journal of Symbolic Compuation 95, pp. 39-52. 2019. ISSN 0747-7171. Also available as RISC Report 18-03 http://www.risc.jku.at/publications/download/risc_5561/etarelations.pdf. [url] [bib]
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]
Peter Paule, Silviu Radu. A proof of the Weierstrass gap theorem not using the Riemann-Roch formula. Annals of Combinatorics 23(19-02), pp. 963-1007. May 2019. Springer, 0218-0006. [url] [bib]
Cristian-Silviu Radu. An algorithm to prove algebraic relations involving eta quotients. Annals of Combinatorics 22, pp. 377-391. 2018. Springer, 0219-3094. [url] [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: Proc. of the 13th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology), A. Hoang, C. Schneider (ed.)PoS (RADCOR2017) 069, pp. 1-13. 2018. ISSN 1824-8039. arXiv:1711.09742 [hep-ph]. [url] [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, E. Zima. (ed.), Springer Proceedings in Mathematics & Statistics 226, pp. 229-280. 2018. Springer, Cham, 978-3-319-73231-2. [url] [pdf] [bib]
Christoph Koutschan and Martin Neumüller and Cristian-Silviu Radu. Inverse inequality estimates with symbolic computation. Advances in Applied Mathematics 80, pp. 1-23. 2016. 0196-8858. [url] [pdf] [bib]
CRISTIAN-SILVIU RADU. An algorithmic approach to Ramanujan-Kolberg identities. Journal of Symbolic Computation 68(1), pp. 225-253. 2015. 0747-7171. [url] [pdf] [bib]
Cristian-Silviu Radu. A note on a problem proposed by Kim and Lisonek. In: Computer Algebra and Polynomials, J. Gutierrez, J. Schicho, M. Weimann (ed.), Lecture notes in Computer Science 8942, pp. 151-156. 2015. Springer, Cham, 978-3-319-15080-2. [url] [bib]
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]
Cristian-Silviu Radu. Proof of a conjecture by Ahlgren and Ono on the non-existence of certain partition congruences. Transactions of the American Mathematical Society 365, pp. 4881-4894. 2013. 1088-6850(e), 0002-9947(p) . [url] [pdf] [bib]
Cristian-Silviu Rand, James Sellers. An extensive analysis of the parity of broken 3-diamond partitions. Journal of Number Theory 133(11), pp. 3703-3716. 2013. 0022-314X. [url] [pdf] [bib]
CRISTIAN-SILVIU RADU, JAMES SELLERS. Congruences modulo squares of primes for Fu's k dots bracelet partitions. International Journal of Number Theory 9(4), pp. 939-943. 2013. World Scientific, 1793-0421. [url] [pdf] [bib]
CRISTIAN-SILVIU RADU, JAMES SELLERS. Infinitely many congruences for broken 2-diamond partitions modulo 3. Journal of Combinatorics and Number Theory 4(3), pp. 195-200. 2013. Nova Science Publishers, 1942-5600. [pdf] [bib]
Cristian-Silviu Radu. A proof of Subbarao's conjecture. Journal fuer Reine und angewandte Mathematik 2012(672), pp. 161-175. 2012. De Gruyter, 1435-5345. [url] [pdf] [bib]
Peter Paule, Cristian-Silviu Radu. The Andrews-Sellers family of partition congruences. Advances in Mathematics 230(3), pp. 819-838. 2012. 0001-8708. [url] [pdf] [bib]
Silviu Radu, James Sellers. Congruences Modulo Squares of Primes for Fu's Dots Bracelet Partitions. Technical report no. 12-13 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. 2012. [pdf] [bib]
Silviu Radu, James Sellers. Parity results for broken k-diamond partitions and (2k+1)-cores. Acta Arithmetica, pp. 43-52. 2011. ISSN 0065-1036. [bib]
Silviu Radu, James Sellers. Congruence Properties Modulo 5 and 7 for the pod Function. International Journal of Number Theory 8, pp. 2249-2259. 2011. 1793-7310. [bib]
Silviu Radu. An algorithmic approach to Ramanujan's congruences and related problems. RISC Linz. PhD Thesis. 2010. [bib]
Peter Paule, Silviu Radu. Infinite families of strange partition congruences for broken 2-diamonds . The Ramanujan Journal 23, pp. 409-416. 2010. 1382-4090. [url] [pdf] [bib]
Cristian-Silviu Radu. An Algorithmic Approach to Ramanujan’s Congruences and Related Problems. RISC-JKU. PhD Thesis. 2010. [pdf] [bib]
Peter Paule, Silviu Radu. A Proof of Sellers' Conjecture. RISC. Technical report no. 09-17, 2009. [pdf] [bib]
Silviu Radu. An algorithmic approach to Ramanujan congruences . Ramanujan Journal 20(2), pp. 215-251. 2009. 1382-4090 . [url] [pdf] [bib]
Silviu Radu. New Upper Bounds on Rubik's cube. Combinatorics. Technical report no. 07-08, 2007. [bib]