Number fields without n-ary universal quadratic forms
Number Theory
2015-08-05 v2
Abstract
Given any positive integer M, we show that there are infinitely many real quadratic fields that do not admit universal quadratic forms in M variables.
Keywords
Cite
@article{arxiv.1503.05736,
title = {Number fields without n-ary universal quadratic forms},
author = {Valentin Blomer and Vítězslav Kala},
journal= {arXiv preprint arXiv:1503.05736},
year = {2015}
}
Comments
Some arguments simplified and more streamlined relative to the first version