A variant of the Corners theorem

DOI10.1017/S0305004121000049zbMath1486.11015arXiv1804.03972OpenAlexW3128380796MaRDI QIDQ5157856

Matei Mandache

Publication date: 20 October 2021

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.03972

zbMATH Keywords

arithmetic progressioncorner theorem

Mathematics Subject Classification ID

Extremal set theory (05D05) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (5)

Khintchine-type recurrence for 3-point configurations ⋮ Patterns without a popular difference ⋮ Tower-type bounds for Roth's theorem with popular differences ⋮ A variant of the Corners theorem ⋮ Popular differences for matrix patterns

Cites Work

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• Multiple recurrence and nilsequences (with an appendix by Imre Ruzsa)
• A Szemerédi-type regularity lemma in abelian groups, with applications
• Multiple recurrence for two commuting transformations
• An arithmetic regularity lemma, associated counting lemma, and applications
• On sets of integers containing k elements in arithmetic progression
• Triforce and corners
• A variant of the Corners theorem
• Probability Inequalities for Sums of Bounded Random Variables
• On a problem of Gowers

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