Sums of Quaternion Squares and a Theorem of Watson
Number Theory
2022-03-09 v3
Abstract
We use a representability theorem of G. L. Watson to examine sums of squares in Quaternion rings with integer coefficients. This allows us to determine a large family of such rings where every element expressible as the sum of squares can be written as the sum of 3 squares.
Cite
@article{arxiv.2011.02118,
title = {Sums of Quaternion Squares and a Theorem of Watson},
author = {Tim Banks and Spencer Hamblen and Tim Sherwin and Sal Wright},
journal= {arXiv preprint arXiv:2011.02118},
year = {2022}
}