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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
 Format: LaTeX MathJax PDF

## Abstract

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

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