Character sums over Bohr sets

Published 28 Sep 2014 in math.NT | (1409.7924v4)

Abstract: We prove character sum estimates for additive Bohr subsets modulo a prime. These estimates are analogous to classical character sum bounds of Polya-Vinogradov and Burgess. These estimates are applied to obtain results on recurrence mod $p$ by special elements.

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Authors (1)

Brandon Hanson

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