A theta function identity of degree 7 with applications

DOI10.1080/10652469.2011.594050zbMath1272.11058OpenAlexW2122947321MaRDI QIDQ2892833

Zhi-Guo Liu

Publication date: 25 June 2012

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2011.594050

zbMATH Keywords

entire functiontheta functionmodular equationselliptic function

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Theta series; Weil representation; theta correspondences (11F27) Elliptic functions and integrals (33E05) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (2)

A theta function identity and its applications ⋮ On a theta function identity

Cites Work

• A new class of theta-function identities originating in Ramanujan's notebooks
• Some Eisenstein series identities related to modular equations of the seventh order.
• DETERMINATIONS OF ANALOGUES OF GAUSS SUMS AND OTHER TRIGONOMETRIC SUMS

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