Erdős and Arithmetic Progressions

Published 11 Sep 2015 in math.CO | (1509.03421v1)

Abstract: This is a short survey article written for the Erd\H{o}s centennial conference in Budapest in 2013. The main two topics covered are Szemer\'edi's theorem and its ramifications, and the Erd\H{o}s discrepancy problem. There is an emphasis on what we do not yet know, so much of the article is somewhat speculative.

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W. T. Gowers

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