On some of Ramanujan's Schläfli-type ``mixed modular equations.

DOI10.1016/S0022-314X(02)00127-0zbMath1049.11017OpenAlexW2094542121MaRDI QIDQ1394923

Nayandeep Deka Baruah

Publication date: 25 June 2003

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

Full work available at URL: https://doi.org/10.1016/s0022-314x(02)00127-0

zbMATH Keywords

theta functionsmodular equations

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Theta series; Weil representation; theta correspondences (11F27) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (16)

Dedekind \(\eta\)-function identities of level 6 and an approach towards colored partitions ⋮ Ramanujan's Schläfli-type modular equations and class invariants \(g_n\) ⋮ Certain new Schläfli type mixed modular equations ⋮ New modular equations in the spirit of Ramanujan ⋮ On Ramanujan's modular equations of degree 21 ⋮ A note on \(P\)-\(Q\) type modular equations and their evaluations ⋮ Unnamed Item ⋮ On Ramanujan's modular equations of degree 35 ⋮ A parameter for Ramanujan's function \(\chi(q)\): its explicit values and applications ⋮ On a pair of Ramanujan’s modular equations and P - Q theta functions of level 35 ⋮ Revisit to Ramanujan's modular equations of degree 21 ⋮ New theta-function identities of level 6 in the spirit of Ramanujan ⋮ Certain new Ramanujan's Schläfli-type mixed modular equations ⋮ New proof to Somos's Dedekind eta-function identities of level 10 ⋮ Theta function identities of level 6 and their application to partitions ⋮ New approach to Somos’s Dedekind eta-function identities of level 6

Cites Work

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• A few theta-function identities and some of Ramanujan's modular equations
• Ramanujan's modular equations

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