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.
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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. | ||||||||||||||
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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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