Three-term arithmetic progressions in subsets of F_q^∞ of large Fourier dimension

DOI10.5186/AASFM.2021.4659zbMath1484.43006arXiv2002.06091OpenAlexW3196018540MaRDI QIDQ4958750

Robert Fraser

Publication date: 15 September 2021

Published in: Annales Fennici Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.06091

zbMATH Keywords

finite fieldsFourier dimensionadditive combinatoricsvector space over finite fieldthree-term arithmetic progressions: Fourier analysis

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Hausdorff and packing measures (28A78) Analysis on specific locally compact and other abelian groups (43A70)

Cites Work

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• On large subsets of \(\mathbb{F}_q^n\) with no three-term arithmetic progression
• Arithmetic progressions in sets of fractional dimension
• Fourier Analysis on Local Fields. (MN-15)
• Salem Sets with No Arithmetic Progressions
• Fourier Analysis and Hausdorff Dimension
• Probability Inequalities for Sums of Bounded Random Variables
• On Sets of Integers Which Contain No Three Terms in Arithmetical Progression
• A \(1\)-dimensional subset of the reals that intersects each of its translates in at most a single point

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