Wedi'i Gadw mewn:
Manylion Llyfryddiaeth
Prif Awduron: Daans, Nicolas, Kala, Vítězslav, Krásenský, Jakub, Yatsyna, Pavlo
Fformat: Preprint
Cyhoeddwyd: 2024
Pynciau:
Mynediad Ar-lein:https://arxiv.org/abs/2404.12844
Tagiau: Ychwanegu Tag
Dim Tagiau, Byddwch y cyntaf i dagio'r cofnod hwn!
Tabl Cynhwysion:
  • We discuss the phenomenon where an element in a number field is not integrally represented by a given positive definite quadratic form, but becomes integrally represented by this form over a totally real extension of odd degree. We prove that this phenomenon happens infinitely often, and, conversely, establish finiteness results about the situation when the quadratic form is fixed.