New modular equations of signature three in the spirit of Ramanujan

DOI10.2298/FIL2009847SzbMath1499.11193OpenAlexW3126402130MaRDI QIDQ5866214

B. R. Srivatsa Kumar, Shruthi

Publication date: 13 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil2009847s

zbMATH Keywords

theta functionsmodular equations

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Classical hypergeometric functions, ({}_2F_1) (33C05) Elliptic functions and integrals (33E05)

Related Items (2)

A note on \(P\)-\(Q\) type modular equations and their evaluations ⋮ Some modular equations analogous to Ramanujan's identities

Cites Work

• Some new modular relations for the Rogers-Ramanujan type functions of order eleven with applications to partitions
• Modular equations for Ramanujan's cubic continued fraction
• Some evaluations of Ramanujan's cubic continued fraction
• Some new modular equations in Ramanujan's alternate theory of signature 3
• A continued fraction of Ramanujan and some Ramanujan-Weber class invariants
• Two identities of Ramanujan's cubic continued fraction by modular equations
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