The products of three theta functions and the general cubic theta functions. (English) Zbl 1221.11109
Author’s summary: The author establish two theta function identities with four parameters by the theory of theta functions. Using these identities they introduce common generalizations of Hirschhorn-Garvan-Borwein cubic theta functions, and also re-derive the quintuple product identity, one of Ramanujan’s identities, Winquist’s identity and many other interesting identities.
Reviewer: Florin Nicolae (Berlin)
MSC:
| 11F27 | Theta series; Weil representation; theta correspondences |
| 33E05 | Elliptic functions and integrals |
Keywords:
Jacobi theta function; quintuple product identity; Winquist’s identity; Ramanujan’s identityReferences:
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