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On Some Multiple Character Sums

Published 4 Oct 2016 in math.NT | (1610.01061v1)

Abstract: We improve a recent result of B. Hanson (2015) on multiplicative character sums with expressions of the type $a + b +cd$ and variables $a,b,c,d$ from four distinct sets of a finite field. We also consider similar sums with $a + b(c+d)$. These bounds rely on some recent advances in additive combinatorics.

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