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

Authors

  • Tom C. Brown
  • Jau-Shyong Peter Shiue

DOI:

https://doi.org/10.5556/j.tkjm.32.2001.348

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.

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.

Published

2001-12-31

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

Issue

Section

Papers