Bilinear Forms with Kloosterman and Gauss Sums

Abstract

We obtain several estimates for bilinear form with Kloosterman sums. Such results can be interpreted as a measure of cancellations amongst with parameters from short intervals. In particular, for certain ranges of parameters we improve some recent results of Blomer, Fouvry, Kowalski, Michel and Milićević and also of Fouvry, Kowalski and Michel. In particular, we improve the bound on the error term in the asymptotic formula for mixed moments of $L$-series associated with Hecke eigenforms.

Cited by in corpus (2)

• Cancellations between Kloosterman sums modulo a prime power with prime arguments
• Bilinear Forms with Exponential Sums with Binomials