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Some properties of partitions in terms of crank

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Publication:4942874
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DOI10.1090/S0002-9947-00-02306-0zbMath1005.11051OpenAlexW1838192267MaRDI QIDQ4942874

A. Bülent Ekin

Publication date: 15 March 2000

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-00-02306-0


zbMATH Keywords

ranksnumber of partitionscranks


Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83)


Related Items (10)

Exotic Bailey–Slater spt-functions III: Bailey pairs from groups B, F, G, and J ⋮ Exotic Bailey-Slater spt-functions. I: Group A. ⋮ Two partition functions with congruences modulo \(3, 5, 7\), and \(13\) ⋮ On the Andrews-Schur proof of the Rogers-Ramanujan identities ⋮ On cranks of partitions modulo 12 and 16 ⋮ New equalities and inequalities for the ranks and cranks of partitions ⋮ Higher order spt-functions ⋮ The crank of partitions mod 13 ⋮ Cranks and dissections in Ramanujan's lost notebook ⋮ The generating functions of the rank and crank modulo 8




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