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arXiv · 1610.01061

On Some Multiple Character Sums

Ilya D. Shkredov·Igor E. Shparlinski
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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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Ilya D. Shkredov, Igor E. Shparlinski. 2016-10-04. On Some Multiple Character Sums. https://doi.org/10.1112/s0025579317000055

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