Some congruences for modulus 13 related to partition generating function

BİLGİCİ G., EKİN A. B.

RAMANUJAN JOURNAL, cilt.33, sa.2, ss.197-218, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Sayı: 2
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1007/s11139-013-9537-4
  • Dergi Adı: RAMANUJAN JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.197-218
  • Anahtar Kelimeler: Partition, Partition generating function, q-Equivalence
  • Ankara Üniversitesi Adresli: Evet

Özet

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.