Counting rational points on biquadratic hypersurfaces
Number Theory
2018-10-22 v1
Abstract
An asymptotic formula is established for the number of rational points of bounded anticanonical height which lie on a certain Zariski open subset of an arbitrary smooth biquadratic hypersurface in sufficiently many variables. The proof uses the Hardy--Littlewood circle method.
Cite
@article{arxiv.1810.08426,
title = {Counting rational points on biquadratic hypersurfaces},
author = {T. D. Browning and L. Q. Hu},
journal= {arXiv preprint arXiv:1810.08426},
year = {2018}
}