Counting rational points on quadric surfaces

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.

Bibliographic Details
Main Authors: Browning, T, Heath-Brown, D
Format: Journal article
Published: Discrete Analysis 2018