A Method of Verifying Partition Congruences by Symbolic Computation

Research output: Working paper and reportsPreprint

Abstract

Conjectures involving infinite families of restricted partition congruences can be difficult to verify for a number of individual cases, even with a computer. We demonstrate how the machinery of Radu's algorithm may be modified and employed to efficiently check a very large number of cases of such conjectures. This allows substantial evidence to be collected for a given conjecture, before a complete proof is attempted.
Original languageEnglish
Place of PublicationHagenberg, Linz
PublisherRISC, JKU
Number of pages37
Publication statusPublished - 2019

Publication series

NameRISC Report Series

Fields of science

  • 101 Mathematics
  • 101001 Algebra
  • 101005 Computer algebra
  • 101009 Geometry
  • 101012 Combinatorics
  • 101013 Mathematical logic
  • 101020 Technical mathematics

JKU Focus areas

  • Digital Transformation

Cite this