Patterns without a popular difference

DOI10.19086/da.25317zbMath1497.11032arXiv2004.07722OpenAlexW3016883859MaRDI QIDQ3382243

Yufei Zhao, Mehtaab Sawhney, Ashwin Sah

Publication date: 20 September 2021

Published in: discrete Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.07722

zbMATH Keywords

Szemerédi's theorempopular difference

Mathematics Subject Classification ID

Arithmetic progressions (11B25) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (5)

Khintchine-type recurrence for 3-point configurations ⋮ Popular differences for right isosceles triangles ⋮ Tower-type bounds for Roth's theorem with popular differences ⋮ Multiple recurrence and large intersections for abelian group actions ⋮ Popular differences for matrix patterns

Cites Work

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• Conditional ergodicity in infinite dimension
• An ergodic Szemerédi theorem for commuting transformations
• Multiple recurrence and nilsequences (with an appendix by Imre Ruzsa)
• A uniform set with fewer than expected arithmetic progressions of length 4
• Hypergraph regularity and the multidimensional Szemerédi theorem
• A Szemerédi-type regularity lemma in abelian groups, with applications
• An arithmetic regularity lemma, associated counting lemma, and applications
• ON A GENERALIZATION OF SZEMERÉDI'S THEOREM
• Testing subgraphs in large graphs
• Some Constructions in the Inverse Spectral Theory of Cyclic Groups
• Popular differences for corners in Abelian groups
• Triforce and corners
• A variant of the Corners theorem
• Applications of the regularity lemma for uniform hypergraphs
• On Sets of Integers Which Contain No Three Terms in Arithmetical Progression
• A new proof of Szemerédi's theorem

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