Vítězslav Kala, Pavlo Yatsyna
Published 2020-05-13Version 1
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 the 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 the sum of squares?
Non-decomposable quadratic forms over totally real number fields
Even better sums of squares over quintic and cyclotomic fields
Generalised quadratic forms over totally real number fields
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