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.
On the distribution in the arithmetic progressions of reducible quadratic polynomials
SALERNO, Saverio;VITOLO, Antonio
1995-01-01
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.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
