Graham, R. L.; Rothschild, B. L. A short proof of van der Waerden’s theorem on arithmetic progressions. (English) Zbl 0278.05001 Proc. Am. Math. Soc. 42, 385-386 (1974). 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. Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 4 ReviewsCited in 15 Documents MSC: 05A18 Partitions of sets 11B25 Arithmetic progressions 05D10 Ramsey theory Keywords:van der Waerden’s theorem; arithmetic progressions PDFBibTeX XMLCite \textit{R. L. Graham} and \textit{B. L. Rothschild}, Proc. Am. Math. Soc. 42, 385--386 (1974; Zbl 0278.05001) Full Text: DOI Link