Vitezslav Kala, Daejun Kim, Seok Hyeong Lee
Published 2024-07-30Version 1
Given a totally real number field $F$, we show that there are only finitely many totally real extensions of $K$ of a fixed degree that admit a universal quadratic form defined over $F$. We further obtain several explicit classification results in the case of relative quadratic extensions.
A lower bound for the rank of a universal quadratic form with integer coefficients in a totally real number field
Universal quadratic forms and Northcott property of infinite number fields
On quadratic Waring's problem in totally real number fields
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