Some congruences for modulus 13 related to partition generating function

BİLGİCİ G., EKİN A. B.

RAMANUJAN JOURNAL, vol.33, no.2, pp.197-218, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 33 Issue: 2
  • Publication Date: 2014
  • Doi Number: 10.1007/s11139-013-9537-4
  • Journal Name: RAMANUJAN JOURNAL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.197-218
  • Keywords: Partition, Partition generating function, q-Equivalence
  • Ankara University Affiliated: Yes

Abstract

In this study, we obtain some congruences modulo 13 related to the partition generating function with the help of a congruence between q-series. We use an elementary method which appears in the work of Kolberg.