Combinatorial Proofs of the Polynomial van der Waerden Theorem and the Polynomial Hales-Jewett Theorem

DOI10.1112/S0024610799008388zbMath0948.05056OpenAlexW2107415439MaRDI QIDQ4487516

Mark Walters

Publication date: 22 June 2000

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

Full work available at URL: https://doi.org/10.1112/s0024610799008388

zbMATH Keywords

Hales-Jewett theoremintegral polynomialSzemerédi's theorempolynomial van der Waerden theoremcolour focusing

Mathematics Subject Classification ID

Partitions of sets (05A18) Ramsey theory (05D10)

Related Items (11)

Polynomial central set theorem near zero ⋮ Revisiting the nilpotent polynomial Hales-Jewett theorem ⋮ Quantitative bounds in the polynomial Szemerédi theorem: the homogeneous case ⋮ Monochromatic solutions to systems of exponential equations ⋮ Extensions of the Polynomial Hales–Jewett Theorem ⋮ Rado's criterion over squares and higher powers ⋮ Monochromatic paths for the integers ⋮ Higher order Fourier analysis of multiplicative functions and applications ⋮ Proof of van der Waerden's theorem in nine figures ⋮ Applications of the Hales-Jewett theorem near zero ⋮ Exponential patterns in arithmetic Ramsey theory

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