Inequalities for the Crank

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Copy For Citation

Bülent Ekin A.

Journal of Combinatorial Theory. Series A, vol.83, no.2, pp.283-289, 1998 (SCI-Expanded)

• 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