EMS Surveys in Mathematical Sciences
Full-Text PDF (471 KB) | Metadata | Table of Contents | EMSS summary
Published online: 2014-11-28
The Green-Tao theorem: an expositionDavid Conlon, Jacob Fox 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