Khawaja, M and Jarvis, A (2025) Fermat's last theorem over Q(√2, (√3). Algebra & Number Theory, 19 (3). pp. 457-480. ISSN 1937-0652
Abstract
In this paper, we begin the study of the Fermat equation xn+yn = zn over real biquadratic fields. In particular, we prove that there are no nontrivial solutions to the Fermat equation over Q(√2,√3) for n≥4.
Metadata
| Item Type: | Article |
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| Authors/Creators: |
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| Copyright, Publisher and Additional Information: | © 2025 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). (https://creativecommons.org/licenses/by/4.0/) |
| Keywords: | Fermat equation; modularity; Galois representations; rational points; elliptic curves |
| Dates: |
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| Institution: | The University of Sheffield |
| Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
| Depositing User: | Symplectic Sheffield |
| Date Deposited: | 22 May 2024 15:37 |
| Last Modified: | 20 Feb 2025 15:27 |
| Status: | Published |
| Publisher: | Mathematical Sciences Publishers |
| Refereed: | Yes |
| Identification Number: | 10.2140/ant.2025.19.457 |
| Related URLs: | |
| Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:194494 |
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