Some modular relations analogues to the Ramanujan's forty identities with its applications to partitions

DOI10.3390/axioms2010020zbMath1297.05028OpenAlexW2008980017MaRDI QIDQ402294

Nasser Abdo Saeed Bulkhali, Chandrashekar Adiga

Publication date: 28 August 2014

Published in: Axioms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/axioms2010020

zbMATH Keywords

partitionstheta functionscolored partitionsRogers-Ramanujan functionsmodular relations

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Theta series; Weil representation; theta correspondences (11F27) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (1)

Foreword: Special issue: ``\(q\)-series and related topics in special functions and analytic number theory

Cites Work

• Some modular relations for the Göllnitz-Gordon functions by an even-odd method
• A generalization of a modular identity of Rogers
• On modular relations for the Göllnitz-Gordon functions with application to partitions
• New modular relations for the Göllnitz-Gordon functions.
• Some new proofs of modular relations for the Göllnitz-Gordon functions
• Modular relations for the nonic analogues of the Rogers-Ramanujan functions with applications to partitions
• New identities for the 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
• An Introduction to Ramanujan's "lost" Notebook
• Septic analogues of the Rogers–Ramanujan functions
• Some Identities in Combinatory Analysis
• Further Identities of the Rogers-Ramanujan Type
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