Modular hyperbolas and bilinear forms of Kloosterman sums

2019/05/01 by Shkredov, Ilya D. · 2 citations
#Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1905.00291

Abstract

In this paper we study incidences for hyperbolas in F_p and show how linear sum--product methods work for such curves. As an application we give a purely combinatorial proof of a nontrivial upper bound for bilinear forms of Kloosterman sums.

Cited by

• On an asymmetric additive energy inequality
• Bilinear forms with Kloosterman sums and moments of twisted L-functions

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