On a Generalization of the van der Waerden Theorem

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/126532For 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.5 pagesCombinatorics05E99On a Generalization of the van der Waerden Theoremtext