Small Zeros of Quadratic Forms Modulo p, II

Abstract

Let Q(x) = Q(x ₁ x _2,…, x _n) be a quadratic form with integer coefficients and p be an odd prime. Let µ=µ(Q,p) be minimal such that there is a nonzero x∈Z ⁿ with max |x _i|≤µ and

$$ Q\left( x \right) \equiv 0\,\left( {\bmod p} \right). $$

((1))