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EMS Surveys in Mathematical Sciences

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Volume 1, Issue 2, 2014, pp. 249–282
DOI: 10.4171/EMSS/6

Published online: 2014-11-28

The Green-Tao theorem: an exposition

David Conlon[1], Jacob Fox[2] and Yufei Zhao

(1) University of Oxford, UK
(2) Stanford University, USA

The celebrated Green-Tao theorem states that the prime numbers contain arbitrarily long arithmetic progressions. We give an exposition of the proof, incorporating several simplifications that have been discovered since the original paper.

Keywords: Green-Tao theorem, primes in arithmetic progression

Conlon David, Fox Jacob, Zhao Yufei: The Green-Tao theorem: an exposition. EMS Surv. Math. Sci. 1 (2014), 249-282. doi: 10.4171/EMSS/6