New equalities and inequalities for the ranks and cranks of partitions

DOI10.1016/j.aam.2023.102486OpenAlexW4319300929MaRDI QIDQ2689164

Yan Fan, Ernest X. W. Xia, Xiang Zhao

Publication date: 9 March 2023

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2023.102486

zbMATH Keywords

partitioncrankmock theta functionsrankAppell-Lerch sums

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Analytic theory of partitions (11P82)

Cites Work

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• The Crank of Partitions Mod 8, 9 and 10
• Some Properties of Partitions
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• New Combinatorial Interpretations of Ramanujan's Partition Congruences Mod 5,7 and 11
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• On the Rank and the Crank Modulo 4 and 8
• Some properties of partitions in terms of crank
• FOUR IDENTITIES FOR THIRD ORDER MOCK THETA FUNCTIONS
• Some Properties of Partitions
• A mock theta function identity related to the partition rank modulo 3 and 9

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