Some theta-function identities

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 2007 English Publisher:Elsevier BVJournal:Applied Mathematics and Computation, volume 187, pages 474-478 (issn: 0096-3003,

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Authors: Bhaskar Srivastava;

doi: 10.1016/j.amc.2006.08.147

Some theta-function identities

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Abstract

Using an identity obtained in an earlier paper [\textit{B. Srivastava}, Kyungpook Math. J. 45, 603--607 (2005; Zbl 1101.11005)] the author derives new theta-function identities. One of these leads to another proof of the classical formula for the number of representations of a positive integer as a sum of two squares.

Related Organizations

University of Lucknow
India

Keywords

\(q\)-hypergeometric series, Elliptic functions and integrals, Continued fractions, two-square theorem, theta functions

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