English

Universal quadratic forms and indecomposables in number fields: A survey

Number Theory 2024-02-14 v3

Abstract

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.

Keywords

Cite

@article{arxiv.2301.13222,
  title  = {Universal quadratic forms and indecomposables in number fields: A survey},
  author = {Vítězslav Kala},
  journal= {arXiv preprint arXiv:2301.13222},
  year   = {2024}
}

Comments

34 pages, journal version

R2 v1 2026-06-28T08:27:21.804Z