On simultaneous approximation to a real number, its square, and its cube, II
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866915260424781824 |
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| author | Roy, Damien |
| author_facet | Roy, Damien |
| contents | In a previous paper with the same title, we gave an upper bound for the exponent of uniform rational approximation to a quadruple of $\mathbb{Q}$-linearly independent real numbers in geometric progression. Here, we explain why this upper bound is not optimal. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_03226 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On simultaneous approximation to a real number, its square, and its cube, II Roy, Damien Number Theory Primary 11J13, Secondary 11J82 In a previous paper with the same title, we gave an upper bound for the exponent of uniform rational approximation to a quadruple of $\mathbb{Q}$-linearly independent real numbers in geometric progression. Here, we explain why this upper bound is not optimal. |
| title | On simultaneous approximation to a real number, its square, and its cube, II |
| topic | Number Theory Primary 11J13, Secondary 11J82 |
| url | https://arxiv.org/abs/2407.03226 |