On Rogers–Ramanujan functions, binary quadratic forms and eta-quotients

DOI10.1090/S0002-9939-2013-11816-2zbMath1314.11019arXiv1204.1092OpenAlexW2962691293MaRDI QIDQ5401660

Alexander Berkovich, Hamza Yesilyurt

Publication date: 11 March 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.1092

zbMATH Keywords

quadratic formeta-quotientsRogers-Ramanujan functionsHecke actionThompson series

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Modular and automorphic functions (11F03) General binary quadratic forms (11E16) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (2)

Binary quadratic forms and the Fourier coefficients of certain weight 1 \(\eta\)-quotients ⋮ The \(t\)-coefficient method. III: A general series expansion for the product of theta functions with different bases and its applications.

Cites Work

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• Elementary proofs of some identities of Ramanujan for the Rogers-Ramanujan functions
• Ramanujan's identities and representation of integers by certain binary and quaternary quadratic forms
• A generalization of a modular identity of Rogers
• New identities for the Rogers–Ramanujan functions
• On a conjecture of Koike on identities between Thompson series and Rogers-Ramanujan functions
• A Proof of some identities of Ramanujan using modular forms
• Some Identities Involving Rogers-Ramanujan-Type Functions
• Ramanujan’s forty identities for the Rogers-Ramanujan functions

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