Results of Hurwitz type for three squares.
type: Item
instance of: scholarly article
title: Results of Hurwitz type for three squares.
zbMATH Open document ID: 1040.11019
DOI: 10.1016/S0012-365X(03)00079-7
author: Shaun Cooper
author: Michael D. Hirschhorn
published in: Discrete Mathematics
publication date: 2004-01-26T00:00:00Z
review text: If \(n\) is a natural number, let \(r_3(n)\) be the number of representations of \(n\) as a sum of three squares. Using theta functions, the authors obtain generating functions for \(r_3(an+ b)\) in 103 separate choices of \(a\) and \(b\). In addition, they obtain 33 theta function identities.
reviewed by: Neville Robbins
Mathematics Subject Classification ID: 11E25
Mathematics Subject Classification ID: 11F27
zbMATH DE Number: 2032850
zbMATH Keywords: three squares
zbMATH Keywords: generating functions
zbMATH Keywords: infinite products
zbMATH Keywords: sums of squares
MaRDI profile type: Publication
cites work: Cubic Analogues of the Jacobian Theta Function θ(z, q)
cites work: On representations of a number as a sum of three squares
description: scientific article; zbMATH DE number 2032850