Double Character Sums with Intervals and Arbitrary Sets in Finite Fields

Published 23 Mar 2018 in math.NT and math.CO | (1803.08699v1)

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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