Optimal quantitative weak approximation for projective quadrics
Number Theory
2024-05-10 v1
Abstract
We derive asymptotic formulas for the number of rational points on a smooth projective quadratic hypersurface of dimension at least three inside of a shrinking adelic open neighbourhood. This is a quantitative version of weak approximation for quadrics and allows us to deduce the best growth rate of the size of such an adelic neighbourhood for which equidistribution is preserved.
Cite
@article{arxiv.2405.05592,
title = {Optimal quantitative weak approximation for projective quadrics},
author = {Zhizhong Huang and Damaris Schindler and Alec Shute},
journal= {arXiv preprint arXiv:2405.05592},
year = {2024}
}