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COMBINATORIAL PROOFS OF THE POLYNOMIAL VAN DER WAERDEN THEOREM AND THE POLYNOMIAL HALES–JEWETT THEOREM

Published online by Cambridge University Press:  01 February 2000

MARK WALTERS
MARK WALTERS
Affiliation:
Department of Pure Mathematics and Mathematical Statistics, Cambridge University, 16 Mill Lane, Cambridge CB2 1SB, UK
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Abstract

Recently Bergelson and Leibman proved an extension to van der Waerden's theorem involving polynomials. They also generalised the Hales–Jewett theorem in a similar way. The paper presents short and purely combinatorial proofs of those results.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 61 , Issue 1 , February 2000 , pp. 1 - 12
Copyright
The London Mathematical Society 2000

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