Addition formulas for Jacobi's theta functions, Dedekind's eta function, and Ramanujan's congruences
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Publication:1011625
DOI10.2140/PJM.2009.240.135zbMath1169.33005OpenAlexW1981478955MaRDI QIDQ1011625
Publication date: 8 April 2009
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/pjm.2009.240.135
Theta series; Weil representation; theta correspondences (11F27) Holomorphic modular forms of integral weight (11F11) Dedekind eta function, Dedekind sums (11F20) Elliptic functions and integrals (33E05)
Related Items (8)
Proofs for certain \(q\)-trigonometric identities of Gosper ⋮ Proofs for two \(q\)-trigonometric identities of Gosper ⋮ On some \(\Pi_q\)-identities of Gosper ⋮ The Kronecker theta function and a decomposition theorem for theta functions. I ⋮ Proofs for certain \(\Pi_q\)-identities of W. Gosper ⋮ A note on certain modular equations about infinite products of Ramanujan ⋮ ON THE SCHRÖTER FORMULA FOR THETA FUNCTIONS ⋮ On certain trigonometric identities
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