Open Access
April 2018 Salem sets in vector spaces over finite fields
Changhao Chen
Author Affiliations +
Ark. Mat. 56(1): 45-52 (April 2018). DOI: 10.4310/ARKIV.2018.v56.n1.a4

Abstract

We prove that almost all random subsets of a finite vector space are weak Salem sets (small Fourier coefficient), which extend a result of Hayes to a different probability model.

Funding Statement

The author is supported by the Kalle Väisälä Foundation.

Citation

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Changhao Chen. "Salem sets in vector spaces over finite fields." Ark. Mat. 56 (1) 45 - 52, April 2018. https://doi.org/10.4310/ARKIV.2018.v56.n1.a4

Information

Received: 29 January 2017; Revised: 10 May 2017; Published: April 2018
First available in Project Euclid: 19 June 2019

zbMATH: 1391.05067
MathSciNet: MR3800458
Digital Object Identifier: 10.4310/ARKIV.2018.v56.n1.a4

Subjects:
Primary: 05B25 , 52C99

Keywords: finite fields , Salem sets

Rights: Copyright © 2018 Institut Mittag-Leffler

Vol.56 • No. 1 • April 2018
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