Geodesic
On the distribution in the arithmetic progressions of reducible quadratic polynomials
Izvestiya. Mathematics, Tome 45 (1995) no. 1, pp. 215-228 
S. Salerno; A. Vitolo. On the distribution in the arithmetic progressions of reducible quadratic polynomials. Izvestiya. Mathematics, Tome 45 (1995) no. 1, pp. 215-228. http://geodesic.mathdoc.fr/item/IM2_1995_45_1_a11/
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Voir la notice de l'article provenant de la source Math-Net.Ru

By using Weil's estimate for Kloosterman sums, we obtain a result about 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 for sums of Kloosterman sums of Deshouillers–Iwaniec. Furthermore the method is extended to consider general quadratic reducible polynomials.

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