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DOI | 10.1073/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 |
ISSN | 00278424 |
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 |
推荐引用方式 GB/T 7714 | 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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