Character sums over bohr sets

Brandon Hanson

doi:10.4153/CMB-2015-036-2

Character sums over bohr sets

Brandon Hanson

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

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

Original language	English (US)
Pages (from-to)	774-786
Number of pages	13
Journal	Canadian Mathematical Bulletin
Volume	58
Issue number	4
DOIs	https://doi.org/10.4153/CMB-2015-036-2
State	Published - Dec 2015

All Science Journal Classification (ASJC) codes

General Mathematics

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10.4153/CMB-2015-036-2

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title = "Character sums over bohr sets",

abstract = "We prove character sum estimates for additive Bohr subsets modulo a prime. These estimates are analogous to the classical character sumbounds of P{\'o}lya-Vinogradov and Burgess.These estimates are applied to obtain results on recurrence mod p by special elements.",

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year = "2015",

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AU - Hanson, Brandon

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AB - We prove character sum estimates for additive Bohr subsets modulo a prime. These estimates are analogous to the classical character sumbounds of Pólya-Vinogradov and Burgess.These estimates are applied to obtain results on recurrence mod p by special elements.

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DO - 10.4153/CMB-2015-036-2

M3 - Article

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JO - Canadian Mathematical Bulletin

JF - Canadian Mathematical Bulletin

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Character sums over bohr sets

Abstract

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