Published 2014 | Version Submitted
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The Green-Tao theorem: an exposition

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.

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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Additional details

Identifiers

Eprint ID
97849
Resolver ID
CaltechAUTHORS:20190812-163001431

Related works

Funding

Royal Society
David and Lucile Packard Foundation
NSF
DMS-1352121
Alfred P. Sloan Foundation
MIT NEC Corporation
Microsoft Research

Dates

Created
2019-08-19
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Updated
2021-11-16
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