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On asymptotic Fermat over Z_p extensions of Q
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Freitas, Nuno, Kraus, Alain and Siksek, Samir (2020) On asymptotic Fermat over Z_p extensions of Q. Algebra & Number Theory, 14 (9). pp. 2571-2574. doi:10.2140/ant.2020.14.2571 ISSN 1937-0652.
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Official URL: https://doi.org/10.2140/ant.2020.14.2571
Abstract
Let p be a prime and let Qn,p denote the n-th layer of the cyclotomic
Zp-extension of Q. We prove the effective asymptotic FLT over Qn,p for all n≥1 and all primes p≥5 that are non-Wieferich, i.e., 2p−1≢1(modp
2). The effectivity in our result builds on recent work of Thorne proving modularity of elliptic curves over Qn,p.
Item Type: | Journal Article | |||||||||
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Subjects: | Q Science > QA Mathematics | |||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | |||||||||
Library of Congress Subject Headings (LCSH): | Fermat's last theorem, Number theory, Algebraic number theory | |||||||||
Journal or Publication Title: | Algebra & Number Theory | |||||||||
Publisher: | Mathematical Sciences Publishers | |||||||||
ISSN: | 1937-0652 | |||||||||
Official Date: | 13 October 2020 | |||||||||
Dates: |
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Volume: | 14 | |||||||||
Number: | 9 | |||||||||
Page Range: | pp. 2571-2574 | |||||||||
DOI: | 10.2140/ant.2020.14.2571 | |||||||||
Status: | Peer Reviewed | |||||||||
Publication Status: | Published | |||||||||
Reuse Statement (publisher, data, author rights): | “First published in Algebra & Number Theory in Vol. 14 (2020), No. 9, published by Mathematical Sciences Publishers,” and the copyright notice in proper form must be placed on all copies.' | |||||||||
Access rights to Published version: | Restricted or Subscription Access | |||||||||
Copyright Holders: | © 2020 Mathematical Sciences Publishers | |||||||||
Date of first compliant deposit: | 20 May 2020 | |||||||||
Date of first compliant Open Access: | 16 February 2021 | |||||||||
RIOXX Funder/Project Grant: |
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