Inequalities for the \(M_2\)-rank modulo 12 of partitions without repeated odd parts

DOI10.1007/s11139-023-00783-5MaRDI QIDQ6179885

Eric H. Liu, Ernest X. W. Xia, Yan Fan

Publication date: 18 January 2024

Published in: The Ramanujan Journal (Search for Journal in Brave)

zbMATH Keywords

theta functions\(M_2\)-rankpartitions without repeated odd partsAppell-Lerch sums

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)

Cites Work

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• Ranks of partitions modulo 10
• The generating functions of the rank and crank modulo 8
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• Some observations on Dyson's new symmetries of partitions
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• Identities and inequalities for the \(M_2\)-rank of partitions without repeated odd parts modulo 8
• The \(M_{2}\)-rank of partitions without repeated odd parts modulo 6 and 10
• Two theorems of Gauss and allied identities proved arithmetically
• Hecke-type double sums, Appell-Lerch sums, and mock theta functions, I
• On the Rank and the Crank Modulo 4 and 8
• Cubic Analogues of the Jacobian Theta Function θ(z, q)
• Some Eighth Order Mock Theta Functions
• Second Order Mock Theta Functions
• A Generalization of the Gollnitz-Gordon Partition Theorems
• Some Properties of Partitions

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