Sums of Quaternion Squares and a Theorem of Watson

Tim Banks,Spencer Hamblen, Tim Sherwin, Sarah Wright

arxiv(2020)

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摘要
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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关键词
Waring's problem,quaternions,Hilbert-Waring theorem
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