TY - JOUR AB - 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. AU - Cao, Yang AU - Huang, Zhizhong ID - 10765 IS - 3 JF - Advances in Mathematics SN - 0001-8708 TI - Arithmetic purity of the Hardy-Littlewood property and geometric sieve for affine quadrics VL - 398 ER -