@article{10765,
abstract = {We establish the Hardy-Littlewood property (à la Borovoi-Rudnick) for Zariski open subsets in affine quadrics of the form q(x1,...,xn)=m, where q is a non-degenerate integral quadratic form in n>3 variables and m is a non-zero integer. This gives asymptotic formulas for the density of integral points taking coprime polynomial values, which is a quantitative version of the arithmetic purity of strong approximation property off infinity for affine quadrics.},
author = {Cao, Yang and Huang, Zhizhong},
issn = {1090-2082},
journal = {Advances in Mathematics},
number = {3},
publisher = {Elsevier},
title = {{Arithmetic purity of the Hardy-Littlewood property and geometric sieve for affine quadrics}},
doi = {10.1016/j.aim.2022.108236},
volume = {398},
year = {2022},
}