IP\(_r\) sets with polynomial weights and Szemerédi's theorem

DOI10.1016/j.jcta.2006.02.004zbMath1177.05125OpenAlexW2029295982MaRDI QIDQ857424

Randall McCutcheon

Publication date: 14 December 2006

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2006.02.004

zbMATH Keywords

Ramsey theorySzemerédi's theoremmultiple recurrenceIP-set

Mathematics Subject Classification ID

Ramsey theory (05D10) Relations between ergodic theory and number theory (37A44)

Cites Work

• An ergodic Szemerédi theorem for IP-systems and combinatorial theory
• FVIP systems and multiple recurrence
• Set-polynomials and polynomial extension of the Hales-Jewett theorem
• 𝐼𝑃_𝑟-sets, Szemerédi’s theorem, and Ramsey theory
• An ergodic IP polynomial Szemerédi theorem
• Polynomial extensions of van der Waerden’s and Szemerédi’s theorems

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