Abstract
By using Weil's estimate for Kloosterman sums, we obtain a result on the distribution of the sequence n(n+2), beyond the classical level, when a bilinear form with support over pairs of prime moduli is considered. We also obtain an analogous result in the case of a trilinear form, but only by using the recent results of Deshouillers-Iwaniec for sums of Kloosterman sums. Furthermore, the method is extended to general reducible quadratic polynomials.
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More From: Russian Academy of Sciences. Izvestiya Mathematics
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