Elliptic Functions and the Appell Theta Functions
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Publication:3569184
DOI10.1093/imrn/rnp212zbMath1191.33007OpenAlexW1979446980MaRDI QIDQ3569184
Publication date: 17 June 2010
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1093/imrn/rnp212
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On certain \(q\)-trigonometric identities analogous to that of Gosper's, Proofs for certain \(\Pi_q\)-identities of W. Gosper, Proof for a \(q\)-trigonometric identity of Gosper, Properties of the Appell-Lerch function (I), An identity connecting theta series associated with binary quadratic forms of discriminant \(\Delta\) and \(\Delta(\mathrm{prime})^2\)