A parameter for Ramanujan's function \(\chi(q)\): its explicit values and applications

DOI10.5402/2012/169050zbMath1345.11028OpenAlexW2055064103WikidataQ58689948 ScholiaQ58689948MaRDI QIDQ693699

Nipen Saikia

Publication date: 10 December 2012

Published in: ISRN Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5402/2012/169050

zbMATH Keywords

Gaussian hypergeometric functionDedekind eta functionRamanujan's class invariant

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Dedekind eta function, Dedekind sums (11F20) Elliptic functions and integrals (33E05)

Related Items

Ramanujan's Schläfli-type modular equations and class invariants \(g_n\) ⋮ Some new explicit values of parameters \(\lambda_n\) and \(\mu_n\) of quotients of eta-function ⋮ Parameters of Ramanujan's function \(\chi(Q)\) of degree five and their explicit evaluation ⋮ Some results on a special case of a general continued fraction of Ramanujan ⋮ New theta function identities for a continued fraction of Ramanujan and their applications ⋮ New general theorems and explicit values of the level 13 analogue of Rogers-Ramanujan continued fraction

Cites Work

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• A certain quotient of eta-functions found in Ramanujan's lost notebook.
• On some of Ramanujan's Schläfli-type ``mixed modular equations.
• Theta-function identities and the explicit formulas for theta-function and their applications
• Certain new Ramanujan's Schläfli-type mixed modular equations
• Ramanujan’s modular equations and Weber–Ramanujan class invariants G n and g n
• Ramanujan's remarkable product of theta-functions
• Some Values for the Rogers-Ramanujan Continued Fraction
• Ramanujan's class invariants and cubic continued fraction