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A short proof of van der Waerden’s theorem on arithmetic progressions. (English) Zbl 0278.05001

Summary: A short proof is given for the classical theorem of van der Waerden which asserts that for any partition of the integers into a finite number of classes, some class contains arbitrarily long arithmetic progressions.

MSC:

05A18 Partitions of sets
11B25 Arithmetic progressions
05D10 Ramsey theory
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