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ON SOME MULTIPLE CHARACTER SUMS

  • Ilya D. Shkredov (a1) (a2) and Igor E. Shparlinski (a3)
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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Mathematika
  • ISSN: 0025-5793
  • EISSN: 2041-7942
  • URL: /core/journals/mathematika
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