Journal article
The twin prime conjecture
- Abstract:
- The Twin Prime Conjecture asserts that there should be infinitely many pairs of primes which differ by 2. Unfortunately this long-standing conjecture remains open, but recently there has been several dramatic developments making partial progress. We survey the key ideas behind proofs of bounded gaps between primes (due to Zhang, Tao and the author) and developments on Chowla's conjecture (due to Matomäki, Radziwiłł and Tao).
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Access Document
- Files:
-
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(Preview, Accepted manuscript, pdf, 442.8KB, Terms of use)
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- Publisher copy:
- 10.1007/s11537-019-1837-z
Authors
- Publisher:
- Springer
- Journal:
- Japanese Journal of Mathematics More from this journal
- Volume:
- 14
- Issue:
- 2
- Pages:
- 175-206
- Publication date:
- 2019-06-21
- Acceptance date:
- 2019-05-10
- DOI:
- EISSN:
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1861-3624
- ISSN:
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0289-2316
- Language:
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English
- Keywords:
- Pubs id:
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pubs:998167
- UUID:
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uuid:83245111-5eb3-4463-b43e-6065aa1de656
- Local pid:
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pubs:998167
- Source identifiers:
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998167
- Deposit date:
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2019-05-14
- ARK identifier:
Terms of use
- Copyright holder:
- The Mathematical Society of Japan and Springer Japan KK
- Copyright date:
- 2019
- Rights statement:
- © The Mathematical Society of Japan and Springer Japan KK, part of Springer Nature 2019
- Notes:
- This is the accepted manuscript version of the article. The final version is available from AIP Publishing at: https://doi.org/10.1007/s11537-019-1837-z
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