%0 Journal Article
%T A variant of the Hales-Jewett Theorem
%A Mathias Beiglb£¿ck
%J Mathematics
%D 2008
%I arXiv
%R 10.1112/blms/bdn027
%X It was shown by V. Bergelson that any set B with positive upper multiplicative density contains nicely intertwined arithmetic and geometric progressions: For each positive integer k there exist integers a,b,d such that $ {b(a+id)^j:i,j \in\nhat k}\subset B. $ In particular one cell of each finite partition of the positive integers contains such configurations. We prove a Hales-Jewett type extension of this partition theorem.
%U http://arxiv.org/abs/0807.1461v1