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Small solutions of quadratic congruences, II
Published online by Cambridge University Press: 26 February 2010
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Let Q(x) = Q(x1,…, xn) є ęZ x1, …, xn] be a quadratic form. The primary purpose of this paper is to bound the smallest non-zero solution of the congruence Q(x) = 0 (mod q). The problem may be formulated as follows. We ask for the least bound Bn(q) such that, for any Ki > 0 satisfying
and any Q, the congruence has a non-zero solution satisfying
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