Unification of the cubic analogues of the Jacobian theta-function

DOI10.1006/jmaa.1995.1252zbMath0843.33007OpenAlexW1971566451MaRDI QIDQ1900374

Yanyan Li

Publication date: 31 October 1995

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

Full work available at URL: https://doi.org/10.1006/jmaa.1995.1252

zbMATH Keywords

Ramanujan's identityclassical theta-functions

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Elliptic functions and integrals (33E05)

Related Items (9)

Elliptic hypergeometric summations by Taylor series expansion and interpolation ⋮ Cubic identities for theta series in three variables ⋮ The products of three theta functions and the general cubic theta functions ⋮ A note on a generalized circular summation formula of theta functions ⋮ Cubic theta functions. ⋮ The \(t\)-coefficient method. III: A general series expansion for the product of theta functions with different bases and its applications. ⋮ On a new circular summation of theta functions ⋮ On Ramanujan's general theta function and a generalization of the Borweins' cubic theta functions ⋮ Ramanujan's alternative quartic theory of theta functions

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