Journal article
Dense clusters of primes in subsets
- Abstract:
- We prove a generalization of the author's work to show that any subset of the primes which is 'well distributed' in arithmetic progressions contains many primes which are close together. Moreover, our bounds hold with some uniformity in the parameters. As applications, we show there are infinitely many intervals of length containing primes, and show lower bounds of the correct order of magnitude for the number of strings of congruent primes with.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Accepted manuscript, pdf, 362.6KB)
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- Publisher copy:
- 10.1112/S0010437X16007296
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Authors
Bibliographic Details
- Publisher:
- Cambridge University Press Publisher's website
- Journal:
- Compositio Mathematica Journal website
- Volume:
- 152
- Issue:
- 7
- Pages:
- 1517-1554
- Publication date:
- 2016-04-01
- Acceptance date:
- 2015-10-15
- DOI:
- ISSN:
-
1570-5846 and 0010-437X
Item Description
- Keywords:
- Pubs id:
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pubs:618344
- UUID:
-
uuid:a08a24aa-e17c-4323-8aea-a1782d68c694
- Local pid:
- pubs:618344
- Deposit date:
- 2016-10-17
Terms of use
- Copyright holder:
- Maynard, J
- Copyright date:
- 2016
- Notes:
-
This is an
accepted manuscript of a journal article published by Cambridge University Press in Compositio Mathematica on 2016-04-01, available online: http://dx.doi.org/10.1112/S0010437X16007296
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