Inequalities for the crank

DOI10.1006/jcta.1998.2884zbMath0909.05010OpenAlexW2000895164MaRDI QIDQ1269897

A. Bülent Ekin

Publication date: 30 March 1999

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcta.1998.2884

zbMATH Keywords

inequalitiesranks of vector partitions

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Combinatorial inequalities (05A20)

Related Items (4)

K. Saito's Conjecture for nonnegative eta products and analogous results for other infinite products ⋮ Cranks and dissections in Ramanujan's lost notebook ⋮ A short and simple proof of Ramanujan's \(\mod 11\) partition congruence ⋮ The ranks and cranks of partitions moduli 2, 3, and 4

Cites Work

• A Birthday Present for Ramanujan
• SOME IDENTITIES IN COMBINATORIAL ANALYSIS
• New Combinatorial Interpretations of Ramanujan's Partition Congruences Mod 5,7 and 11
• An elementary proof of p(11m+6)≡0 (mod 11)
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