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

Main Article Content

Tom C. Brown
Jau-Shyong Peter Shiue

Abstract

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.

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How to Cite
Brown, T. C., & Shiue, J.-S. P. (2001). On the history of van der Waerden’s theorem on arithmetic progressions. Tamkang Journal of Mathematics, 32(4), 335–341. https://doi.org/10.5556/j.tkjm.32.2001.348
Section
Papers
Author Biographies

Tom C. Brown

Department of Mathematics, Simon Fraser University, Burnaby, BC, Canada V6G 1G4.

Jau-Shyong Peter Shiue

Department of Mathematical Sciences, University of Nevada, Las Vegas, NV, USA 89154-4020.