Inequalities for the Crank
Journal of Combinatorial Theory. Series A, vol.83, no.2, pp.283-289, 1998 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 83 Issue: 2
- Publication Date: 1998
- Doi Number: 10.1006/jcta.1998.2884
- Journal Name: Journal of Combinatorial Theory. Series A
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.283-289
- Ondokuz Mayıs University Affiliated: Yes
Abstract
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