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The Green-Tao theorem: an exposition

Conlon, David and Fox, Jacob and Zhao, Yufei (2014) The Green-Tao theorem: an exposition. EMS Surveys in Mathematical Sciences, 1 (2). pp. 249-282. ISSN 2308-2151. https://resolver.caltech.edu/CaltechAUTHORS:20190812-163001431

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Abstract

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.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.4171/emss/6DOIArticle
http://www.ems-ph.org/doi/10.4171/EMSS/6PublisherArticle
https://arxiv.org/abs/1403.2957arXivDiscussion Paper
ORCID:
AuthorORCID
Conlon, David0000-0001-5899-1829
Additional Information:© 2014 European Mathematical Society. Published online 2014-11-28. The first author was supported by a Royal Society University Research Fellowship. The second author was supported by a Packard Fellowship, NSF Career Award DMS-1352121, an Alfred P. Sloan Fellowship, and an MIT NEC Corporation Award. The third author was supported by a Microsoft Research PhD Fellowship. We thank Yuval Filmus, Mohammad Bavarian, and the anonymous referee for helpful comments on the manuscript.
Funders:
Funding AgencyGrant Number
Royal SocietyUNSPECIFIED
David and Lucile Packard FoundationUNSPECIFIED
NSFDMS-1352121
Alfred P. Sloan FoundationUNSPECIFIED
MIT NEC CorporationUNSPECIFIED
Microsoft ResearchUNSPECIFIED
Subject Keywords:Green-Tao theorem, primes in arithmetic progression
Issue or Number:2
Record Number:CaltechAUTHORS:20190812-163001431
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190812-163001431
Official Citation: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
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:97849
Collection:CaltechAUTHORS
Deposited By: Melissa Ray
Deposited On:19 Aug 2019 21:02
Last Modified:03 Oct 2019 21:35

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