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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2108.08572 |
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| _version_ | 1866912599742873600 |
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| author | Bartolomé, Boris Mihailescu, Preda |
| author_facet | Bartolomé, Boris Mihailescu, Preda |
| contents | We give a cyclotomic proof of the fact that the equation $\frac{x^p + y^p}{x+y} = p^e z^p$ has no solutions in coprime integers $x,y,z$ and $p > 3$, a prime. This implies in particular Fermat's Last Theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2108_08572 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Beyond and slightly aside of the Fermat Desert Bartolomé, Boris Mihailescu, Preda Number Theory We give a cyclotomic proof of the fact that the equation $\frac{x^p + y^p}{x+y} = p^e z^p$ has no solutions in coprime integers $x,y,z$ and $p > 3$, a prime. This implies in particular Fermat's Last Theorem. |
| title | Beyond and slightly aside of the Fermat Desert |
| topic | Number Theory |
| url | https://arxiv.org/abs/2108.08572 |