Inequalities for the Crank

Bülent Ekin A.

Journal of Combinatorial Theory. Series A, cilt.83, sa.2, ss.283-289, 1998 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 83 Sayı: 2
  • Basım Tarihi: 1998
  • Doi Numarası: 10.1006/jcta.1998.2884
  • Dergi Adı: Journal of Combinatorial Theory. Series A
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.283-289
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

Garvan first defined certain "vector partitions" and assigned to each such partition a "rank." Denoting byNV(r,m,n) the (weighted) count of the vector partitions ofnwith rankrmodulom, he gave a number of relations between the numbersNV(r,m,mn+k) whenm=5, 7 and 11, 0≤r,k