Local conditions for global representations of quadratic forms
Number Theory
2015-05-13 v4
Abstract
We show that the theorem of Ellenberg and Venkatesh on representation of integral quadratic forms by integral positive definite quadratic forms is valid under weaker conditions on the represented form.
Keywords
Cite
@article{arxiv.0804.2158,
title = {Local conditions for global representations of quadratic forms},
author = {Rainer Schulze-Pillot},
journal= {arXiv preprint arXiv:0804.2158},
year = {2015}
}
Comments
9 pages, v2: corrected typos, added a corollary using results of Kitaoka. v3: added results about representations with congruence conditions and about extensions of representations. v4: minor corrections. Paper to appear in Acta Arithmetica