Eulerian series as modular forms
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Publication:3058263
DOI10.1090/S0894-0347-07-00587-5zbMath1208.11065MaRDI QIDQ3058263
Kathrin Bringmann, Robert C. Rhoades, Ken Ono
Publication date: 19 November 2010
Published in: Journal of the American Mathematical Society (Search for Journal in Brave)
Partitions; congruences and congruential restrictions (11P83) Forms of half-integer weight; nonholomorphic modular forms (11F37) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Analytic theory of partitions (11P82)
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Cites Work
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- Four identities related to third order mock theta functions in Ramanujan's lost notebook
- Dyson's ranks and Maass forms
- On the seventh order mock theta functions
- Ramanujan's ``Lost Notebook. VI: The mock theta conjectures
- Tenth order mock theta functions in Ramanujan's lost notebook
- Some observations on Dyson's new symmetries of partitions
- The \(f(q)\) mock theta function conjecture and partition ranks
- On modular forms of half integral weight
- Rank and conjugation for the Frobenius representation of an overpartition
- The H and K Family of Mock Theta Functions
- A new family of algebras underlying the Rogers-Ramanujan identities and generalizations
- The Mock Theta Functions (2)
- Some Properties of Partitions
- Tenth order mock theta functions in Ramanujan's lost notebook. II
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