Journal article

On the existence of infinite, non-trivial F-sets

Abstract:: In this paper we prove a conjecture of J. Andrade, S.J. Miller, K. Pratt and M. Trinh, showing the existence of a non-trivial infinite F-set over Fq[x] for every fixed q. We also provide the proof of a refinement of the conjecture, involving the notion of width of an F-set, which is a natural number encoding the complexity of the set.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Ferraguti, A., & Micheli, G. (2016). On the existence of infinite, non-trivial F-sets. Journal of Number Theory, 168, 1–12.

MLA Style

Ferraguti, A., and G. Micheli. “On the Existence of Infinite, Non-Trivial F-Sets.” Journal of Number Theory, vol. 168, Elsevier, 2016, pp. 1–12.

Chicago Style

Ferraguti, A, and G Micheli. 2016. “On the Existence of Infinite, Non-Trivial F-Sets.” Journal of Number Theory 168: 1–12.
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Files:: On the existence of infinite non-trivial F-sets.pdf

(Preview, Accepted manuscript, pdf, 396.2KB, Terms of use)

Publisher copy:: 10.1016/j.jnt.2016.03.024

Authors

+ Ferraguti, A More by this author

Role:: Author

+ Micheli, G More by this author

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

Publisher:: Elsevier
Journal:: Journal of Number Theory More from this journal
Volume:: 168
Pages:: 1-12
Publication date:: 2016-05-19
Acceptance date:: 2016-03-28
DOI:: 10.1016/j.jnt.2016.03.024
EISSN:: 1096-1658
ISSN:: 0022-314X

Keywords:: Finite fields

F-sets

Polynomials

SBTMR
Pubs id:: pubs:673182
UUID:: uuid:fe1835f6-d33c-4856-8e66-2c93946b82f3
Local pid:: pubs:673182
Source identifiers:: 673182
Deposit date:: 2017-01-27

Terms of use

Copyright holder:: Elsevier
Copyright date:: 2016
Notes:: © 2016 Elsevier Inc. All rights reserved. This is the accepted manuscript version of the article. The final version is available online from Elsevier at: https://doi.org/10.1016/j.jnt.2016.03.024.

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

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