Counting rational points on quadric surfaces

Author: 

Browning, T
Heath-Brown, D

Publication Date: 

7 September 2018

Journal: 

Discrete Analysis

Last Updated: 

2020-02-12T13:03:38.663+00:00

Volume: 

2018

DOI: 

10.19086/da.4375

abstract: 

We give an upper bound for the number of rational points of height at most B, lying on a surface defined by a quadratic form Q. The bound shows an explicit dependence on Q. It is optimal with respect to B, and is also optimal for typical forms Q.

Symplectic id: 

868411

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article