Fermat's Last Theorem over $\mathbb{Q}(\sqrt{2},\sqrt{3})$
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866915171759292416 |
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| author | Khawaja, Maleeha Jarvis, Frazer |
| author_facet | Khawaja, Maleeha Jarvis, Frazer |
| contents | In this paper, we begin the study of the Fermat equation $x^n+y^n=z^n$ over real biquadratic fields. In particular, we prove that there are no non-trivial solutions to the Fermat equation over $\mathbb{Q}(\sqrt{2},\sqrt{3})$ for $n\geq 4$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_03744 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Fermat's Last Theorem over $\mathbb{Q}(\sqrt{2},\sqrt{3})$ Khawaja, Maleeha Jarvis, Frazer Number Theory In this paper, we begin the study of the Fermat equation $x^n+y^n=z^n$ over real biquadratic fields. In particular, we prove that there are no non-trivial solutions to the Fermat equation over $\mathbb{Q}(\sqrt{2},\sqrt{3})$ for $n\geq 4$. |
| title | Fermat's Last Theorem over $\mathbb{Q}(\sqrt{2},\sqrt{3})$ |
| topic | Number Theory |
| url | https://arxiv.org/abs/2210.03744 |