A generalization of a modular identity of Rogers

DOI10.1016/j.jnt.2009.01.007zbMath1219.11063OpenAlexW2133657266MaRDI QIDQ1019830

Hamza Yesilyurt

Publication date: 28 May 2009

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

Full work available at URL: http://hdl.handle.net/11693/22734

zbMATH Keywords

Rogers-Ramanujanmodular identity

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items

New modular relations involving cubes of the Göllnitz-Gordon functions, Some modular relations analogues to the Ramanujan's forty identities with its applications to partitions, Modular equations for cubes of the Rogers-Ramanujan and Ramanujan-Göllnitz-Gordon functions and their associated continued fractions, Modular equations of degrees 13, 29, and 61, Elementary proofs of some identities of Ramanujan for the Rogers-Ramanujan functions, Some new modular relations for the Rogers-Ramanujan type functions of order eleven with applications to partitions, On Rogers–Ramanujan functions, binary quadratic forms and eta-quotients, The \(t\)-coefficient method. III: A general series expansion for the product of theta functions with different bases and its applications., Modular relations for the Rogers-Ramanujan functions with applications to partitions, Ramanujan's identities and representation of integers by certain binary and quaternary quadratic forms, On conjectures of Koike and Somos for modular identities for the Rogers–Ramanujan functions

Cites Work

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• Some Infinite Product Identities
• A Proof of some identities of Ramanujan using modular forms
• Ramanujan’s forty identities for the Rogers-Ramanujan functions