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.
David Conlon 
1
;
Jacob Fox 
2
;
Yufei Zhao 
3
1
University of Oxford, UK
2
Stanford University, USA
3
Massachusetts Institute of Technology, Cambridge, USA
David Conlon; Jacob Fox; Yufei Zhao. The Green-Tao theorem: an exposition. EMS surveys in mathematical sciences, Tome 1 (2014) no. 2, pp. 249-282. doi: 10.4171/emss/6
@article{10_4171_emss_6,
author = {David Conlon and Jacob Fox and Yufei Zhao},
title = {The {Green-Tao} theorem: an exposition},
journal = {EMS surveys in mathematical sciences},
pages = {249--282},
year = {2014},
volume = {1},
number = {2},
doi = {10.4171/emss/6},
url = {http://geodesic.mathdoc.fr/articles/10.4171/emss/6/}
}
TY - JOUR
AU - David Conlon
AU - Jacob Fox
AU - Yufei Zhao
TI - The Green-Tao theorem: an exposition
JO - EMS surveys in mathematical sciences
PY - 2014
SP - 249
EP - 282
VL - 1
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.4171/emss/6/
DO - 10.4171/emss/6
ID - 10_4171_emss_6
ER -
%0 Journal Article
%A David Conlon
%A Jacob Fox
%A Yufei Zhao
%T The Green-Tao theorem: an exposition
%J EMS surveys in mathematical sciences
%D 2014
%P 249-282
%V 1
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4171/emss/6/
%R 10.4171/emss/6
%F 10_4171_emss_6