Counting rational points on quadric surfaces
Number Theory
2018-09-10 v3
Abstract
We give an upper bound for the number of rational points of height at most , lying on a surface defined by a quadratic form . The bound shows an explicit dependence on . It is optimal with respect to , and is also optimal for typical forms .
Cite
@article{arxiv.1801.00979,
title = {Counting rational points on quadric surfaces},
author = {T. D. Browning and D. R. Heath-Brown},
journal= {arXiv preprint arXiv:1801.00979},
year = {2018}
}
Comments
29 pages