Some theta-function identities
type: Item
instance of: scholarly article
title: Some theta-function identities
zbMATH Open document ID: 1122.33016
author: Bhaskar Srivastava
published in: Applied Mathematics and Computation
publication date: 2007-06-13T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 33E05
Mathematics Subject Classification ID: 11A55
zbMATH DE Number: 5163955
zbMATH Keywords: theta functions
zbMATH Keywords: \(q\)-hypergeometric series
zbMATH Keywords: two-square theorem
reviewed by: Tom M. Apostol
MaRDI profile type: Publication
full work available at URL: j.amc.2006.08.147
OpenAlex ID: W2011223387
cites work: Some theta functions identities associated with the modular equations of degree \(5\)
cites work: On the logarithmic derivative of a theta function and a fundamental identity of Ramanujan
cites work: Q5477567
cites work: Q3844537
DOI: 10.1016/J.AMC.2006.08.147
description: scientific article; zbMATH DE number 5163955