Some modular equations analogous to Ramanujan's identities

DOI10.1007/s13398-021-01002-wzbMath1454.11078OpenAlexW3125451214MaRDI QIDQ2226208

B. R. Srivatsa Kumar, R. Narendra, Hari M. Srivastava

Publication date: 11 February 2021

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-021-01002-w

zbMATH Keywords

theta functionseta functionsmodular equations\(P-Q\) identities\(P-Q\) modular equationsclass invariants and continued fractions

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (1)

A note on \(P\)-\(Q\) type modular equations and their evaluations

Cites Work

• Some new modular relations for the Rogers-Ramanujan type functions of order eleven with applications to partitions
• Ramanujan's identities for Eta-functions
• Some congruences for overpartitions with restriction
• Some new modular equations in Ramanujan's alternate theory of signature 3
• Certain identities for Ramanujan-Göllnitz-Gordon continued fraction
• A continued fraction of Ramanujan and some Ramanujan-Weber class invariants
• New modular equations of signature three in the spirit of Ramanujan
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