On conjectures of Koike and Somos for modular identities for the Rogers–Ramanujan functions

DOI10.1142/S1793042120400138zbMath1466.11076OpenAlexW3042307239WikidataQ123231718 ScholiaQ123231718MaRDI QIDQ5857394

Chadwick Gugg

Publication date: 1 April 2021

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

Full work available at URL: https://doi.org/10.1142/s1793042120400138

zbMATH Keywords

theta functionsRogers-Ramanujan functionsmodular identitiesRamanujan's notebooksRamanujan's 40 identities

Mathematics Subject Classification ID

Applications of basic hypergeometric functions (33D90) Partition identities; identities of Rogers-Ramanujan type (11P84)

Cites Work

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• Elementary proofs of some identities of Ramanujan for the Rogers-Ramanujan functions
• Two modular equations for squares of the Rogers-Ramanujan functions with applications
• A generalization of a modular identity of Rogers
• On modular relations for the Göllnitz-Gordon functions with application to partitions
• Integer Matrix Exact Covering Systems and Product Identities for Theta Functions
• A Fundamental Modular Identity and Some Applications
• 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
• A look back at Ramanujan's Notebooks
• Some Identities Involving Rogers-Ramanujan-Type Functions
• THE QUINTUPLE PRODUCT IDENTITY
• Ramanujan’s forty identities for the Rogers-Ramanujan functions
• Ramanujan's Lost Notebook