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arXiv · 2011.02118

Sums of Quaternion Squares and a Theorem of Watson

Tim Banks·Spencer Hamblen·Tim Sherwin·Sal Wright
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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.

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Tim Banks, Spencer Hamblen, Tim Sherwin, Sal Wright. 2020-11-04. Sums of Quaternion Squares and a Theorem of Watson. https://doi.org/10.2140/involve.2021.14.783

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