Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



A short proof of van der Waerden's theorem on arithmetic progressions

Authors: R. L. Graham and B. L. Rothschild
Journal: Proc. Amer. Math. Soc. 42 (1974), 385-386
MSC: Primary 05A99
MathSciNet review: 0329917
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Abstract: 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.

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Keywords: van der Waerden's theorem, long arithmetic progressions
Article copyright: © Copyright 1974 American Mathematical Society