A uniform estimate for the density of rational points on quadrics
Number Theory
2020-03-31 v1
Abstract
This paper is concerned with the density of rational points of bounded height lying on a variety defined by an integral quadratic form Q. In the case of four variables, we give an estimate that does not depend on the coefficients of Q. For more variables, a similar estimate still holds with the restriction that we only count points which do not lie on rational lines.
Keywords
Cite
@article{arxiv.1807.00707,
title = {A uniform estimate for the density of rational points on quadrics},
author = {Félicien Comtat},
journal= {arXiv preprint arXiv:1807.00707},
year = {2020}
}