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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2505.09641 |
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| _version_ | 1866916737329397760 |
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| author | Argáez-García, Alejandro |
| author_facet | Argáez-García, Alejandro |
| contents | In this survey, we studied the possibility of finding rational solutions to the equation $Ax^p+By^p+Cz^p=0$ via its attached hyperelliptic curve $Y^2=X^p+A^2(BC)^{p-1}/4$ and its rational points computed using computational tools. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_09641 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Computing rational solutions to $Ax^p+By^p+Cz^p=0$ Argáez-García, Alejandro Number Theory In this survey, we studied the possibility of finding rational solutions to the equation $Ax^p+By^p+Cz^p=0$ via its attached hyperelliptic curve $Y^2=X^p+A^2(BC)^{p-1}/4$ and its rational points computed using computational tools. |
| title | Computing rational solutions to $Ax^p+By^p+Cz^p=0$ |
| topic | Number Theory |
| url | https://arxiv.org/abs/2505.09641 |