The nonholomorphic parts of certain weak Maass forms

DOI10.1016/j.jnt.2009.09.019zbMath1217.11049OpenAlexW2005137816MaRDI QIDQ2268792

Michael Dewar

Publication date: 9 March 2010

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2009.09.019

zbMATH Keywords

harmonic weak Maass form2-marked Durfee symbolM2-ranknonholomorphic partoverpartition rank

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Forms of half-integer weight; nonholomorphic modular forms (11F37) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (7)

The generating function of the $M_2$-rank of partitions without repeated odd parts as a mock modular form ⋮ Ramanujan-type partial theta identities and rank differences for special unimodal sequences ⋮ Inequalities for full rank differences of 2-marked Durfee symbols ⋮ \(M_2\)-rank of overpartitions and harmonic weak Maass forms ⋮ Overpartition rank differences modulo 7 by Maass forms ⋮ The rank of a unimodal sequence and a partial theta identity of Ramanujan ⋮ Ranks of overpartitions: asymptotics and inequalities

Cites Work

• Rank and conjugation for a second Frobenius representation of an overpartition
• On the explicit construction of higher deformations of partition statistics
• Partitions, Durfee symbols, and the Atkin-Garvan moments of ranks
• Dyson's ranks and Maass forms
• \(M_2\)-rank differences for partitions without repeated odd parts
• Eulerian series as modular forms
• RANK DIFFERENCES FOR OVERPARTITIONS
• Rank generating functions as weakly holomorphic modular forms
• Dyson's Rank, Overpartitions, and Weak Maass Forms

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