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A note on van der Waerden's theorem

โœ Scribed by Alan D Taylor


Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
223 KB
Volume
33
Category
Article
ISSN
0097-3165

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๐Ÿ“œ SIMILAR VOLUMES


A quintessential proof of van der Waerde
โœ George Mills ๐Ÿ“‚ Article ๐Ÿ“… 1983 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 362 KB

A particularly well suited induction hypothesis is employed to give a short and relatively direct formulation of van der Waerden's argument which establishes that for any partition of the natural numbers into two classes, one of the classes contains arbitrarily long arithmetic progressions.

An Infinitary Polynomial van der Waerden
โœ Randall McCutcheon ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 169 KB

In the spirit of Hindman's theorem, we prove a joint extension of an infinitary van der Waerden theorem of Furstenberg and a polynomial van der Waerden theorem of Bergelson and Leibman. 1999 Academic Press ## FS((n (0.1) (FS stands for ``finite sums''.)