Level 14 and 15 analogues of Ramanujan’s elliptic functions to alternative bases

DOI10.1090/tran6658zbMath1400.11094OpenAlexW2036257486MaRDI QIDQ2821676

Dongxi Ye, Shaun Cooper

Publication date: 22 September 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/tran6658

zbMATH Keywords

modular formEisenstein serieshypergeometric functionDedekind eta functionRamanujan's theories of elliptic functions to alternative basespi

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Dedekind eta function, Dedekind sums (11F20) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (13)

On Ramanujan's incomplete elliptic integral identities ⋮ Analogues of the Ramanujan-Mordell theorem ⋮ On Eisenstein series, color partition and divisor function ⋮ A level 16 analogue of Ramanujan series for \(1/\pi\) ⋮ Ramanujan–Sato series for $1/\pi $ ⋮ Series for \(1/\pi\) of level 20 ⋮ Elliptic integrals and Ramanujan-type series for \(1/\pi\) associated with \({\Gamma}_{0}(N)\), where \(N\) is a product of two small primes ⋮ On the approximation of some special functions in Ramanujan's generalized modular equation with signature \(3^{\ast}\) ⋮ On a Ramanujan's Eisenstein series identity of level fifteen ⋮ Hypergeometric transformation formulas of degrees 3, 7, 11 and 23 ⋮ Ramanujan's Eisenstein series of level 7 and 14 ⋮ On the quaternary form x2 + xy + 7y2 + z2 + zt + 7t2 ⋮ Representations of an Integer by Some Quaternary and Octonary Quadratic Forms

Uses Software

• OEIS

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