论文标题
$ s $ integers的广场总和
Sums of squares in $S$-integers
论文作者
论文摘要
在完全真实的数字字段中，我们表征了$ s $ integers的戒指（通过反转合理整数$ m $获得的戒指），使它们的所有完全积极的元素都表示为平方的总和。我们进一步获得了一个问题的部分答案：何时将所有完全积极的代数整数被$ m $排除在于平方的总和？
In totally real number fields, we characterize the rings of $S$-integers (obtained by inverting a rational integer $m$) such that all their totally positive elements are represented as a sum of squares. We further obtain partial answers to the question: when are all the totally positive algebraic integers that are divisible by $m$ represented as a sum of squares?
