Universal quadratic forms and elements of small norm in real quadratic fields
Number Theory
2019-02-20 v2
Abstract
For any positive integer M we show that there are infinitely many real quadratic fields that do not admit M-ary universal quadratic forms (without any restriction on the parity of their cross coefficients).
Cite
@article{arxiv.1507.04237,
title = {Universal quadratic forms and elements of small norm in real quadratic fields},
author = {Vítězslav Kala},
journal= {arXiv preprint arXiv:1507.04237},
year = {2019}
}
Comments
7 pages, slightly revised and expanded version