On a conjecture of Koike on identities between Thompson series and Rogers-Ramanujan functions

DOI10.1090/S0002-9939-07-08735-7zbMath1120.11023OpenAlexW2157679285MaRDI QIDQ3438096

Kathrin Bringmann, Holly Swisher

Publication date: 15 May 2007

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-08735-7

zbMATH Keywords

Rogers-Ramanujan functionsThompson serieseta-products

Mathematics Subject Classification ID

Relationship to Lie algebras and finite simple groups (11F22) Modular and automorphic functions (11F03) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (3)

Transformation properties for Dyson’s rank function ⋮ On Rogers–Ramanujan functions, binary quadratic forms and eta-quotients ⋮ On conjectures of Koike and Somos for modular identities for the Rogers–Ramanujan functions

Cites Work

• A Proof of some identities of Ramanujan using modular forms
• Monstrous Moonshine
• A look back at Ramanujan's Notebooks
• Borcherds products associated with certain Thompson series
• Multiplicative 𝜂-quotients
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