Residue theorem and theta function identities

DOI10.1023/A:1011427622187zbMath1011.11025OpenAlexW1517851935MaRDI QIDQ5952312

Zhi-Guo Liu

Publication date: 4 June 2003

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1011427622187

zbMATH Keywords

elliptic functionstheta function identitiesidentities of Ramanujanresidue theorem

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Holomorphic modular forms of integral weight (11F11) Elliptic functions and integrals (33E05)

Related Items (13)

Two theta function identities and some Eisenstein series identities of Ramanujan ⋮ Proofs for certain \(q\)-trigonometric identities of Gosper ⋮ On a class of elliptic functions associated with even Dirichlet characters ⋮ THE QUINTUPLE PRODUCT IDENTITY ⋮ ELLIPTIC FUNCTIONS AND THE QUINTUPLE, HIRSCHHORN AND WINQUIST PRODUCT IDENTITIES ⋮ A theta function identity and its implications ⋮ Discrete Fourier Transform and Theta Function Identities ⋮ The Kronecker theta function and a decomposition theorem for theta functions. I ⋮ Proofs for certain \(\Pi_q\)-identities of W. Gosper ⋮ Proof for a \(q\)-trigonometric identity of Gosper ⋮ On a theta function identity ⋮ ON GENERAL SERIES-PRODUCT IDENTITIES ⋮ On certain trigonometric identities

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