arXiv Analytics

Sign in

arXiv:2301.13222 [math.NT]AbstractReferencesReviewsResources

Universal quadratic forms and indecomposables in number fields: A survey

Vítězslav Kala

Published 2023-01-30Version 1

We give an overview of universal quadratic forms and lattices, focusing on the recent developments over the rings of integers in totally real number fields. In particular, we discuss indecomposable algebraic integers as one of the main tools.

Comments: 20 pages, comments are welcome
Categories: math.NT
Related articles: Most relevant | Search more
arXiv:2403.18390 [math.NT] (Published 2024-03-27)
Sails for universal quadratic forms
arXiv:2101.10364 [math.NT] (Published 2021-01-25)
Number fields without universal quadratic forms of small rank exist in most degrees
arXiv:2005.12312 [math.NT] (Published 2020-05-25)
Universal quadratic forms, small norms and traces in families of number fields

Links

Toolbox