Counting rational points on quadric surfaces
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 $Q$.
 Publication:

arXiv eprints
 Pub Date:
 January 2018
 DOI:
 10.48550/arXiv.1801.00979
 arXiv:
 arXiv:1801.00979
 Bibcode:
 2018arXiv180100979B
 Keywords:

 Mathematics  Number Theory
 EPrint:
 29 pages