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

DOI10.1007/s40863-022-00282-3OpenAlexW4286284851WikidataQ122158933 ScholiaQ122158933MaRDI QIDQ6188425

B. R. Srivatsa Kumar, Shruthi

Publication date: 11 January 2024

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40863-022-00282-3

zbMATH Keywords

theta functions\(q\)-identitymodular equations

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Dedekind eta function, Dedekind sums (11F20)

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
• On some of Ramanujan's Schläfli-type ``mixed modular equations.
• Modular equations for Ramanujan's cubic continued fraction
• Theta-function identities and the explicit formulas for theta-function and their applications
• Some congruences for overpartitions with restriction
• Some modular equations analogous to Ramanujan's identities
• Some new modular equations in Ramanujan's alternate theory of signature 3
• Two parameters for Ramanujan's theta-functions and their explicit values
• ON SOME MODULAR EQUATIONS OF DEGREE 5 AND THEIR APPLICATIONS
• New modular equations of signature three in the spirit of Ramanujan
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