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ON SOME MULTIPLE CHARACTER SUMS
Published online by Cambridge University Press: 03 April 2017
Abstract
We improve a recent result of B. Hanson [Estimates for character sums with various convolutions. Preprint, 2015, arXiv:1509.04354] 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 $a+b(c+d)$. Our new bounds rely on some recent advances in additive combinatorics.
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- Research Article
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- Copyright © University College London 2017
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