Journal article
Pair correlation and twin primes revisited
- Abstract:
- We establish a connection between the conjectural two-over-two ratios formula for the Riemann zetafunction and a conjecture concerning correlations of a certain arithmetic function. Specifically, we prove that the ratios conjecture and the arithmetic correlations conjecture imply the same result. This casts a new light on the underpinnings of the ratios conjecture, which previously had been motivated by analogy with formulae in random matrix theory and by a heuristic recipe.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 322.5KB, Terms of use)
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- Publisher copy:
- 10.1098/rspa.2016.0548
Authors
- Publisher:
- Royal Society
- Journal:
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences More from this journal
- Volume:
- 472
- Issue:
- 2194
- Publication date:
- 2016-10-01
- Acceptance date:
- 2016-09-02
- DOI:
- EISSN:
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1471-2946
- ISSN:
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1364-5021
- Keywords:
- Pubs id:
-
pubs:1049632
- UUID:
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uuid:0a113735-33b9-4026-943b-504a0ba01c43
- Local pid:
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pubs:1049632
- Source identifiers:
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1049632
- Deposit date:
-
2019-09-25
Terms of use
- Copyright date:
- 2016
- Notes:
- © 2016 The Authors. Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/ , which permits unrestricted use, provided the original author and source are credited.
- Licence:
- CC Attribution (CC BY)
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