论文标题

四元正方形和沃森定理的总和

Sums of Quaternion Squares and a Theorem of Watson

论文作者

Banks, Tim, Hamblen, Spencer, Sherwin, Tim, Wright, Sal

论文摘要

我们使用G. L. Watson的代表性定理来检查具有整数系数的四季度环中的正方形总和。这使我们能够确定一个大家庭的大家庭,其中每个元素都可以表达为正方形的总和3个正方形的总和。

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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