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Four‐term progression free sets with three‐term progressions in all large subsets

  • Published:2021-08-16 Issue: Volume: Page:
  • ISSN:1042-9832
  • Container-title:Random Structures & Algorithms
  • language:en
  • Short-container-title:Random Struct Alg

Author:

Pohoata Cosmin1,Roche‐Newton Oliver2

Affiliation:

1. Department of Mathematics Yale University New Haven Connecticut USA

2. Johann Radon‐Institute for Computational and Applied Mathematics (RICAM) Linz Austria

Publisher

Wiley

Subject

Applied Mathematics,Computer Graphics and Computer-Aided Design,General Mathematics,Software

Reference26 articles.

1. The number of subsets of integers with no ‐term arithmetic progression;Balogh J.;Int. Math. Res. Not.,2017

2. Independent sets in hypergraphs

3. J.Balogh R.MorrisandW.Samotij The method of hypergraph containers 2018 arXiv:1801.04584.

4. J.BaloghandJ.Solymosi On the number of points in general position in the plane Discrete Anal. 2018 Paper No. 16 20 pp.

5. On Sets of Integers Which Contain No Three Terms in Arithmetical Progression

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1. Counting Arcs in $${\mathbb {F}}_q^2$$;Discrete & Computational Geometry;2024-01-08

2. Poissonian correlations of higher orders;Journal of Number Theory;2023-02

3. Arcs in Fq2;European Journal of Combinatorics;2022-06

4. Sets Avoiding Six-Term Arithmetic Progressions in $\mathbb{Z}_6^{n}$ are Exponentially Small;SIAM Journal on Discrete Mathematics;2022-05-05
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