On a Generalization of the van der Waerden Theorem
Combinatorics
2007-05-23 v1
Abstract
For a given length and a given degree and an arbitrary partition of the positive integers, there always is a cell containing a polynomial progression of that length and that degree; moreover, the coefficients of the generating polynomial can be chosen from a given semigroup and one can prescribe the occurring powers. A multidimensional version is included.
Cite
@article{arxiv.math/0703839,
title = {On a Generalization of the van der Waerden Theorem},
author = {Rudi Hirschfeld},
journal= {arXiv preprint arXiv:math/0703839},
year = {2007}
}
Comments
5 pages