Simultaneous and multiplicative Diophantine approximation on missing-digit fractals
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911094078963712 |
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| author | Chow, Sam Yu, Han |
| author_facet | Chow, Sam Yu, Han |
| contents | We investigate the metric theory of Diophantine approximation on missing-digit fractals. In particular, we establish analogues of Khinchin's theorem and Gallagher's theorem, as well as inhomogeneous generalisations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_12070 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Simultaneous and multiplicative Diophantine approximation on missing-digit fractals Chow, Sam Yu, Han Number Theory Dynamical Systems 11J83 (primary), 28A80, 42B05 (secondary) We investigate the metric theory of Diophantine approximation on missing-digit fractals. In particular, we establish analogues of Khinchin's theorem and Gallagher's theorem, as well as inhomogeneous generalisations. |
| title | Simultaneous and multiplicative Diophantine approximation on missing-digit fractals |
| topic | Number Theory Dynamical Systems 11J83 (primary), 28A80, 42B05 (secondary) |
| url | https://arxiv.org/abs/2412.12070 |