On Some Multiple Character Sums

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.

References in corpus (2)

• Growth Estimates in Positive Characteristic via Collisions
• Sums of multiplicative characters with additive convolutions

Cited by in corpus (2)

• Double Character Sums with Intervals and Arbitrary Sets in Finite Fields
• Exponential sum estimates over prime fields