Double Character Sums with Intervals and Arbitrary Sets in Finite Fields

Ilya D. Shkredov; Igor E. Shparlinski

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arXiv · 1803.08699

Double Character Sums with Intervals and Arbitrary Sets in Finite Fields

Ilya D. Shkredov·Igor E. Shparlinski

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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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Ilya D. Shkredov, Igor E. Shparlinski. 2018-03-23. Double Character Sums with Intervals and Arbitrary Sets in Finite Fields. https://arxiv.org/abs/1803.08699

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