Journal article

On limit points of the sequence of normalized prime gaps

Abstract:: Let pnpn denote the nnth smallest prime number, and let LL denote the set of limit points of the sequence {(pn+1−pn)/logpn}∞n=1{(pn+1−pn)/log⁡pn}n=1∞ of normalized differences between consecutive primes. We show that, for any sequence of nine nonnegative real numbers β1≤β2≤⋯≤β9β1≤β2≤⋯≤β9, at least one of the numbers βj−βiβj−βi (1≤i

Publication status:: Published

Peer review status:: Peer reviewed

Actions

Email

Email this record

Send the bibliographic details of this record to your email address.

Your Email
Please enter the email address that the record information will be sent to.

-
Your message (optional)
Please add any additional information to be included within the email.
Cite

Cite this record

APA Style

Banks, W., Freiberg, T., & Maynard, J. (2016). On limit points of the sequence of normalized prime gaps. Proceedings of the London Mathematical Society, 113(4), 515–539.

MLA Style

Banks, W., et al. “On Limit Points of the Sequence of Normalized Prime Gaps.” Proceedings of the London Mathematical Society, vol. 113, no. 4, Oxford University Press, 2016, pp. 515–39.

Chicago Style

Banks, W, T Freiberg, and J Maynard. 2016. “On Limit Points of the Sequence of Normalized Prime Gaps.” Proceedings of the London Mathematical Society 113 (4): 515–39.
Share
Print

Access Document

Files:: banks-freiberg-maynard-limit-points-of-normalized-prime-gaps.pdf

(Preview, Accepted manuscript, pdf, 528.4KB, Terms of use)

Publisher copy:: 10.1112/plms/pdw036

Authors

+ Banks, W More by this author

Role:: Author

+ Freiberg, T More by this author

Role:: Author

+ Maynard, J More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

Publisher:: Oxford University Press
Journal:: Proceedings of the London Mathematical Society More from this journal
Volume:: 113
Issue:: 4
Pages:: 515-539
Publication date:: 2016-08-23
Acceptance date:: 2016-08-23
DOI:: 10.1112/plms/pdw036
EISSN:: 1460-244X
ISSN:: 0024-6115

Keywords:: Article
Pubs id:: pubs:653368
UUID:: uuid:aa4199bb-d60f-4da4-875e-7f84b6099d32
Local pid:: pubs:653368
Source identifiers:: 653368
Deposit date:: 2016-10-21

Terms of use

Copyright holder:: London Mathematical Society
Copyright date:: 2016
Notes:: © 2016 London Mathematical Society. Published by Oxford University Press.

Licence:: Terms and Conditions of Use for Oxford University Research Archive

Views and Downloads

About views and downloads

If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP