Effective equidistribution, arithmetic purity of strong approximation, and geometric sieve for affine quadrics

Yang Cao, Zhizhong Huang, Runlin Zhang

Let $k$ be a number field. Let $q(x_1,\cdots ,x_n)$ be a non-degenerate integral quadratic form in $n\ge 3$ variables with coefficients in $k$ and $m\in k^{\times }$. Let $X$ be the a…