\(M_2\)-rank of overpartitions and harmonic weak Maass forms

DOI10.1016/j.jmaa.2015.01.069zbMath1380.11047OpenAlexW2086869865MaRDI QIDQ2263986

Renrong Mao

Publication date: 19 March 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.01.069

zbMATH Keywords

congruencesrank differencesharmonic weak Maass formAppell-Lerch sum\(M_2\)-rank of overpartitions

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37)

Related Items (4)

The generating function of the $M_2$-rank of partitions without repeated odd parts as a mock modular form ⋮ Variations of Andrews-Beck type congruences ⋮ Mock modularity of the \(M_{d}\)-rank of overpartitions ⋮ Overpartition rank differences modulo 7 by Maass forms

Cites Work

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• Asymptotics for rank moments of overpartitions
• Eulerian series as modular forms
• Overpartitions and class numbers of binary quadratic forms
• M₂-rank differences for overpartitions
• Rank generating functions as weakly holomorphic modular forms
• CONGRUENCES FOR DYSON'S RANKS
• Overpartitions
• Dyson's Rank, Overpartitions, and Weak Maass Forms
• CONGRUENCES FOR THE COEFFICIENTS OF WEAKLY HOLOMORPHIC MODULAR FORMS

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