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DOI10.1073/pnas.2026449118
Local criteria for the unit equation and the asymptotic Fermat’s Last Theorem
Freitas N.; Kraus A.; Siksek S.
发表日期2021
ISSN00278424
卷号118期号:12
英文摘要Let F be a totally real number field of odd degree. We prove several purely local criteria for the asymptotic Fermat’s Last Theorem to hold over F and also, for the nonexistence of solutions to the unit equation over F. For example, if two totally ramifies and three splits completely in F, then the asymptotic Fermat’s Last Theorem holds over F. © 2021 National Academy of Sciences. All rights reserved.
英文关键词Fermat; Number field; Unit equation
语种英语
scopus关键词article
来源期刊Proceedings of the National Academy of Sciences of the United States of America
文献类型期刊论文
条目标识符http://gcip.llas.ac.cn/handle/2XKMVOVA/180124
作者单位Departament de Matemàtiques i Informàtica, Universitat de Barcelona, Barcelona, 08007, Spain; Sorbonne Université, Institut de Mathématiques deJussieu–Paris Rive Gauche, UMR 7586 CNRS–Paris Diderot,, Paris, 75005, France; Mathematics Institute, University of Warwick, Coventry, CV4 7AL, United Kingdom
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Freitas N.,Kraus A.,Siksek S.. Local criteria for the unit equation and the asymptotic Fermat’s Last Theorem[J],2021,118(12).
APA Freitas N.,Kraus A.,&Siksek S..(2021).Local criteria for the unit equation and the asymptotic Fermat’s Last Theorem.Proceedings of the National Academy of Sciences of the United States of America,118(12).
MLA Freitas N.,et al."Local criteria for the unit equation and the asymptotic Fermat’s Last Theorem".Proceedings of the National Academy of Sciences of the United States of America 118.12(2021).
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