Mathematics – Combinatorics
Scientific paper
2007-03-28
Mathematics
Combinatorics
5 pages
Scientific paper
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.
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