The generating function of the $M_2$-rank of partitions without repeated odd parts as a mock modular form

DOI10.1090/tran/7212zbMath1416.11146arXiv1601.06674OpenAlexW2591890253MaRDI QIDQ4561799

Chris Jennings-Shaffer

Publication date: 13 December 2018

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

Full work available at URL: https://arxiv.org/abs/1601.06674

zbMATH Keywords

partitionsmodular formsMaass formsnumber theoryranks, rank differences

Mathematics Subject Classification ID

Elementary theory of partitions (11P81) Analytic theory of partitions (11P82)

Related Items (2)

Dyson’s rank, overpartitions, and universal mock theta functions ⋮ Variations of Andrews-Beck type congruences

Cites Work

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• The \(M_{2}\)-rank of partitions without repeated odd parts modulo 6 and 10
• A Survey of Classical Mock Theta Functions
• Hecke-type double sums, Appell-Lerch sums, and mock theta functions, I
• Eulerian series as modular forms
• Rank generating functions as weakly holomorphic modular forms
• A Proof of some identities of Ramanujan using modular forms
• Some Properties of Partitions
• Overpartition rank differences modulo 7 by Maass forms

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