Cranks and dissections in Ramanujan's lost notebook

DOI10.1016/j.jcta.2004.06.013zbMath1114.11082OpenAlexW1967604935MaRDI QIDQ1763875

Wen-Chin Liaw, Bruce C. Berndt, Heng Huat Chan, Song Heng Chan

Publication date: 22 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.jcta.2004.06.013

zbMATH Keywords

partitionscongruencescranksdissectionsRamanujan's lost notebook

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Analytic theory of partitions (11P82)

Related Items

On formulas of Ramanujan and Evans, On the total number of parts functions associated with ranks of partitions modulo 5 and 7, ELLIPTIC FUNCTIONS AND THE QUINTUPLE, HIRSCHHORN AND WINQUIST PRODUCT IDENTITIES, Asymptotics for rank moments of overpartitions, Cranks---really, the final problem, On the Andrews-Schur proof of the Rogers-Ramanujan identities, On the asymptotic behavior of unimodal rank generating functions, Asymptotic formulas for spt-crank of partitions, New equalities and inequalities for the ranks and cranks of partitions, On recursions for coefficients of mock theta functions, ARITHMETIC PROPERTIES OF COEFFICIENTS OF THE MOCK THETA FUNCTION, The rank and crank of partitions modulo 3, Partitions weighted by the parity of the crank, A mock theta function identity related to the partition rank modulo 3 and 9

Cites Work

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• Inequalities for the crank
• The Crank of Partitions Mod 8, 9 and 10
• A Birthday Present for Ramanujan
• New Combinatorial Interpretations of Ramanujan's Partition Congruences Mod 5,7 and 11
• Dyson’s crank of a partition
• Some properties of partitions in terms of crank
• An elementary proof of p(11m+6)≡0 (mod 11)
• Some Properties of Partitions