Modularity and the distinct rank function

DOI10.1007/s11139-009-9213-xzbMath1219.11064OpenAlexW2154604948MaRDI QIDQ618860

Amanda Folsom

Publication date: 17 January 2011

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

Full work available at URL: https://doi.org/10.1007/s11139-009-9213-x

zbMATH Keywords

modular formsinteger partitionsbasic hypergeometric seriesrank of partitions

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Holomorphic modular forms of integral weight (11F11)

Cites Work

• Modular forms arising from \(Q(n)\) and Dyson's rank
• Dyson's ranks and Maass forms
• Modular forms and quantum invariants of \(3\)-manifolds
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