Hostname: page-component-586b7cd67f-rdxmf Total loading time: 0 Render date: 2024-11-28T03:32:09.152Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)