On the history of van der Waerden's theorem on arithmetic progressions

Tom C. Brown, Jau-Shyong Peter Shiue


In this expository note, we discuss the celebrated theorem known as ``van der Waerden's theorem on arithmetic progressions", the history of work on upper and lower bounds for the function associated with this theorem, a number of generalizations, and some open problems.

DOI: http://dx.doi.org/10.5556/j.tkjm.32.2001.348

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