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Character Sums Over Bohr Sets

Published online by Cambridge University Press:  20 November 2018

Brandon Hanson
Brandon Hanson*
Affiliation:
University of Toronto, Toronto, ON M5S 2E4 e-mail: bhanson@math.toronto.edu
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Abstract

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We prove character sum estimates for additive Bohr subsets modulo a prime. These estimates are analogous to the classical character sum bounds of Pólya–Vinogradov and Burgess. These estimates are applied to obtain results on recurrence $\bmod \,p$ by special elements.

Keywords

11L4011T2411T23character sumsBohr setsfinite fields

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 58 , Issue 4 , 01 December 2015 , pp. 774 - 786
Copyright
Copyright © Canadian Mathematical Society 2015

References

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