An extension of the quintuple product identity and its applications

DOI10.2140/pjm.2010.246.345zbMath1200.11028OpenAlexW2065781204MaRDI QIDQ975809

Zhi-Guo Liu

Publication date: 11 June 2010

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2010.246.345

zbMATH Keywords

Eisenstein seriestheta functionquintuple product identitymodular equationsum of squareselliptic functionRamanujan's identitiesJacobi's quartic identity

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Holomorphic modular forms of integral weight (11F11) Dedekind eta function, Dedekind sums (11F20) Elliptic functions and integrals (33E05)

Related Items (6)

SOME INVERSE RELATIONS AND THETA FUNCTION IDENTITIES ⋮ A note on semi-finite forms of the quintuple product identity ⋮ Classical approach to Ramanujan's modular equations of septic degree ⋮ Elliptic integrals and Ramanujan-type series for \(1/\pi\) associated with \({\Gamma}_{0}(N)\), where \(N\) is a product of two small primes ⋮ On a theta function identity ⋮ ON THE q-DERIVATIVE AND q-SERIES EXPANSIONS

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