English

On sums of three squares

Number Theory 2010-08-23 v2

Abstract

Let r3(n)r_3(n) be the number of representations of a positive integer nn as a sum of three squares of integers. We give two distinct proofs of a conjecture of Wagon concerning the asymptotic value of the mean square of r3(n)r_3(n).

Keywords

Cite

@article{arxiv.math/0502007,
  title  = {On sums of three squares},
  author = {S. K. K. Choi and A. V. Kumchev and R. Osburn},
  journal= {arXiv preprint arXiv:math/0502007},
  year   = {2010}
}

Comments

11 pages, minor revisions made; to appear in Internat. J. Number Theory