𝐼𝑃_𝑟-sets, Szemerédi’s theorem, and Ramsey theory

DOI10.1090/S0273-0979-1986-15438-8zbMath0636.05016MaRDI QIDQ3775570

Hillel Furstenberg, Yitzhak Katznelson

Publication date: 1986

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

affine spacesdensity theoremarithmetic pregressions

Mathematics Subject Classification ID

Other designs, configurations (05B30)

Related Items (7)

Density versions of two generalizations of Schur's theorem ⋮ IP\(_r\) sets with polynomial weights and Szemerédi's theorem ⋮ Odd circuits in dense binary matroids ⋮ The polynomial multidimensional Szemerédi theorem along shifted primes ⋮ On the interplay between additive and multiplicative largeness and its combinatorial applications ⋮ Quotient sets and density recurrent sets ⋮ A density Hales-Jewett theorem for matroids

Cites Work

• An ergodic Szemerédi theorem for IP-systems and combinatorial theory
• A density version of a geometric Ramsey theorem
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