Simultaneous Diophantine approximation with a divisibility condition
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913234312757248 |
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| author | de Mathan, Bernard |
| author_facet | de Mathan, Bernard |
| contents | In a previous paper, we studied certain sequences of simultaneous rational approximations in ${\bf R}^2$ which present some analogy with the continued fractions. We got results around the Littlewood conjecture by using such approximations. Here we show that such results also hold when we add divisibility conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_08850 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Simultaneous Diophantine approximation with a divisibility condition de Mathan, Bernard Number Theory In a previous paper, we studied certain sequences of simultaneous rational approximations in ${\bf R}^2$ which present some analogy with the continued fractions. We got results around the Littlewood conjecture by using such approximations. Here we show that such results also hold when we add divisibility conditions. |
| title | Simultaneous Diophantine approximation with a divisibility condition |
| topic | Number Theory |
| url | https://arxiv.org/abs/2402.08850 |