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Character Sums over Bohr Sets

  Published:2015-07-24
 Printed: Dec 2015
  • Brandon Hanson,
    University of Toronto, M5S 2E4 Toronto, Canada
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Abstract

We prove character sum estimates for additive Bohr subsets modulo a prime. These estimates are analogous to classical character sum bounds of PĆ³lya-Vinogradov and Burgess. These estimates are applied to obtain results on recurrence mod $p$ by special elements.
Keywords: character sums, Bohr sets, finite fields character sums, Bohr sets, finite fields
MSC Classifications: 11L40, 11T24, 11T23 show english descriptions Estimates on character sums
Other character sums and Gauss sums
Exponential sums
11L40 - Estimates on character sums
11T24 - Other character sums and Gauss sums
11T23 - Exponential sums
 

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