New symmetries for Dyson's rank function

DOI10.1007/S11139-023-00799-XMaRDI QIDQ6645979

Rishabh Sarma, Frank G. Garvan

Publication date: 29 November 2024

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

zbMATH Keywords

partitionsmock theta functionsMaass formsMordell integralDyson's rank function

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Partitions; congruences and congruential restrictions (11P83) Forms of half-integer weight; nonholomorphic modular forms (11F37) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Holomorphic modular forms of integral weight (11F11) Analytic theory of partitions (11P82)

Cites Work

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• Dyson's ranks and Maass forms
• Arithmetic of the Ramanujan-Göllnitz-Gordon continued fraction
• Some observations on Dyson's new symmetries of partitions
• On modular forms of half integral weight
• Rank and conjugation for the Frobenius representation of an overpartition
• Eta Products and Theta Series Identities
• Some Properties of Partitions
• Rank generating functions as weakly holomorphic modular forms
• New Combinatorial Interpretations of Ramanujan's Partition Congruences Mod 5,7 and 11
• A Proof of some identities of Ramanujan using modular forms
• Transformation properties for Dyson’s rank function
• Some Properties of Partitions
• Ramanujan's Lost Notebook
• Modular Forms

Related Items (1)

Deviation of the rank and crank modulo 11

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