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