Fermat-Catalan and Tijdeman-Zagier conjectures for products
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910674297290752 |
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| author | Sikora, Adam S. |
| author_facet | Sikora, Adam S. |
| contents | We propose conjectural generalizations of the Fermat-Catalan conjecture, the Tijdeman-Zagier conjecture, and of the Fermat Last Theorem, in which powers are replaced by products of integers. We also formulate a new explicit version of the abc conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_21552 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fermat-Catalan and Tijdeman-Zagier conjectures for products Sikora, Adam S. Number Theory 11D41, 11D72, 11Y50 We propose conjectural generalizations of the Fermat-Catalan conjecture, the Tijdeman-Zagier conjecture, and of the Fermat Last Theorem, in which powers are replaced by products of integers. We also formulate a new explicit version of the abc conjecture. |
| title | Fermat-Catalan and Tijdeman-Zagier conjectures for products |
| topic | Number Theory 11D41, 11D72, 11Y50 |
| url | https://arxiv.org/abs/2410.21552 |