The \(t\)-coefficient method. III: A general series expansion for the product of theta functions with different bases and its applications.

DOI10.1016/j.jmaa.2016.12.012zbMath1356.33007OpenAlexW2559931593MaRDI QIDQ504850

Rui Zhong Wei, Xin Rong Ma

Publication date: 17 January 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.12.012

zbMATH Keywords

series expansionbilateral seriescircular summationJacobi's triple product identitycubic theta function\(t\)-coefficient methodSchröter formula

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) Elliptic functions and integrals (33E05)

Cites Work

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