Isolated Diophantine numbers
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916111786704896 |
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| author | Argentieri, Fernando Chierchia, Luigi |
| author_facet | Argentieri, Fernando Chierchia, Luigi |
| contents | In this short note, we discuss the topology of Diophantine numbers, giving simple explicit examples of Diophantine isolated numbers (among those with same Diophantine constatnts), showing that, Diophantine sets are not always Cantor sets. General properties of isolated Diophantine numbers are also briefly discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_00173 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Isolated Diophantine numbers Argentieri, Fernando Chierchia, Luigi Dynamical Systems Number Theory In this short note, we discuss the topology of Diophantine numbers, giving simple explicit examples of Diophantine isolated numbers (among those with same Diophantine constatnts), showing that, Diophantine sets are not always Cantor sets. General properties of isolated Diophantine numbers are also briefly discussed. |
| title | Isolated Diophantine numbers |
| topic | Dynamical Systems Number Theory |
| url | https://arxiv.org/abs/2402.00173 |