Double Character Sums with Intervals and Arbitrary Sets in Finite Fields

2018/03/23 by Shkredov, Ilya D., Shparlinski, Igor E.
#Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1803.08699

Abstract

We obtain a new bound on certain double sums of multiplicative characters improving the range of several previous results. This improvement comes from new bounds on the number of collinear triples in finite fields, which is a classical object of study of additive combinatorics.

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