G. Ehling, T. Kutsia.Solving Quantitative Equations. Technical report no. 24-03 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. ISSN 2791-4267 (online).April2024. Licensed under CC BY 4.0 International.[doi][pdf][bib]
2023
K. Banerjee, N.A. Smoot.2-Elongated Plane Partitions and Powers of 7: The Localization Method Applied to a Genus 1 Congruence Family. Technical report no. 23-10 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. ISSN 2791-4267 (online).August2023. Licensed under CC BY 4.0 International.[doi][pdf][bib]
Bruno Buchberger.Is ChatGPT Smarter Than Master’s Applicants?. Technical report no. 23-04 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. ISSN 2791-4267 (online).January2023. Licensed under CC BY 4.0 International.[doi][pdf][bib]
Mauricio Ayala-Rincón, David M. Cerna, Andres Felipe Gonzalez Barragan, Temur Kutsia.Equational Anti-Unification over Absorption Theories. arXiv:2310.11136. Technical report, 2023.[doi][bib]
Diego Dominici and Francisco Marcellan.Linear functionals and $Delta$- coherent pairs of the second kind. Technical report no. 23-02 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. ISSN 2791-4267 (online).February2023. Licensed under CC BY 4.0 International.[doi][pdf][bib]
Diego Dominici .Recurrence relations for the moments of discrete semiclassical functionals of class $sleq2.$. Technical report no. 23-05 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. ISSN 2791-4267 (online).March2023. Licensed under CC BY 4.0 International.[doi][pdf][bib]
G.E. Andrews and P. Paule.MacMahon's Partition Analysis XV: Parity. Technical report no. 23-14 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. ISSN 2791-4267 (online).December2023. Licensed under CC BY 4.0 International.[doi][pdf][bib]
Wolfgang Schreiner, William Steingartner.The SLANG Semantics-Based Language Generator. Technical report no. 23-13 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. ISSN 2791-4267 (online).September2023. Licensed under CC BY 4.0 International.[doi][pdf][bib]
2022
K. Banerjee, M. G. Dastidar.Hook Type enumeration and parity of parts in partitions. Research Institute for Symbolic Computation, JKU, Linz. Technical report no. RISC6596, 2022.[pdf][bib]
K. Banerjee, M. G. Dastidar.Ramanujan's theta functions and parity of parts and cranks of partitions. Technical report no. 22-19 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. ISSN 2791-4267 (online).August2022.To appear in Annals of Combinatorics. Licensed under CC BY 4.0 International.[doi][pdf][bib]
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]
K. Banerjee, M. G. Dastidar.Inequalities for the partition function arising from truncated theta series. Technical report no. 22-20 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. ISSN 2791-4267 (online).August2022. Licensed under CC BY 4.0 International.[doi][pdf][bib]
K. Banerjee.An unified framework to prove multiplicative inequalities for the partition function. Research Institute for Symbolic Computation, JKU, Linz. Technical report no. RISC6614, 2022.[pdf][bib]
K. Banerjee, N. A. Smoot.The localization method applied to k-elongated plane partitions and divisibily by 5. Technical report no. 22-21 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. ISSN 2791-4267 (online).August2022. Licensed under CC BY 4.0 International.[doi][pdf][bib]
Diego Dominici and Francisco Marcell{\'a}n.Truncated Hermite polynomials. Technical report no. 22-10 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. ISSN 2791-4267 (online).August2022. Licensed under CC BY 4.0 International.[doi][pdf][bib]
Diego Dominici.Comparative asymptotics for discrete semiclassical orthogonal polynomials. Technical report no. 22-11 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. ISSN 2791-4267 (online).August2022. Licensed under CC BY 4.0 International.[doi][pdf][bib]
Diego Dominici and Juan José Moreno Balcázar.Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials. Technical report no. 22-16 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. ISSN 2791-4267 (online).November2022. Licensed under CC BY 4.0 International.[doi][pdf][bib]
Kevin Buzzard and Temur Kutsia.Work-in-progress papers presented at the 15th Conference on Intelligent Computer Mathematics, CICM 2022 (Informal Proceedings). , 2022.[url][pdf][bib]
P. Nuspl, V. Pillwein.Simple $C^2$-finite Sequences: a Computable Generalization of $C$-finite Sequences. Technical report no. 22-02 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. ISSN 2791-4267 (online).February2022. Licensed under CC BY 4.0 International.[doi][pdf][bib]
P. Nuspl.$C$-finite and $C^2$-finite Sequences in SageMath. Technical report no. 22-06 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. ISSN 2791-4267 (online).June2022. Licensed under CC BY 4.0 International.[doi][pdf][bib]
P. Nuspl, V. Pillwein.A comparison of algorithms for proving positivity of linearly recurrent sequences. Technical report no. 22-05 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. ISSN 2791-4267 (online).May2022. Licensed under CC BY 4.0 International.[doi][pdf][bib]
Temur Kutsia, Cleo Pau.A framework for approximate generalization in quantitative theories. Technical report no. 22-04 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. ISSN 2791-4267 (online).May2022. Licensed under CC BY 4.0 International.[doi][pdf][bib]
G.E. Andrews, P. Paule.MacMahon's Partition Analysis XIV: Partitions with n copies of n. Technical report no. 22-14 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. ISSN 2791-4267 (online).October2022.Research Article. Licensed under CC BY 4.0 International.[doi][pdf][bib]
Wolfgang Schreiner.The RISCTP Theorem Proving Interface - Tutorial and Reference Manual (Version 1.0.*). Technical report no. 22-07 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. ISSN 2791-4267 (online).June2022. Licensed under CC BY 4.0 International.[doi][pdf][bib]
J. Sellers, N. Smoot.On the Divisibility of 7-Elongated Plane Partition Diamonds by Powers of 8. Technical report no. 22-17 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. ISSN 2791-4267 (online).February2022. Licensed under CC BY 4.0 International.[doi][pdf][bib]
N. Smoot.Divisibility Arising From Addition: The Application of Modular Functions to Infinite Partition Congruence Families. Technical report no. 22-18 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. ISSN 2791-4267 (online).February2022. Licensed under CC BY 4.0 International.[doi][pdf][bib]