ON SUMS OF THREE SQUARES-Reference-Cited by-同舟云学术

ON SUMS OF THREE SQUARES

Published:2005-06 Issue:02 Volume:01 Page:161-173
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

CHOI S. K. K.¹,KUMCHEV A. V.²,OSBURN R.³

Affiliation:

1. Department of Mathematics, Simon Fraser University, Burnaby, British Columbia, Canada V5A 1S6, Canada

2. Department of Mathematics, 1 University Station C1200, The University of Texas at Austin, Austin, TX 78712, U.S.A.

3. Max-Planck Institut für Mathematik, Vivatsgasse 7, 53111 Bonn, Germany

Abstract

Let r3(n) be the number of representations of a positive integer n as a sum of three squares of integers. We give two alternative proofs of a conjecture of Wagon concerning the asymptotic value of the mean square of r3(n).

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042105000054

Reference18 articles.

1. On the representations of a number as the sum of three squares

2. Kloosterman sums and Fourier coefficients of cusp forms

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