On the Hausdorff Dimension of weighted exactly Approximable Vectors
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866911382777102336 |
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| author | Bandi, Prasuna Fregoli, Reynold |
| author_facet | Bandi, Prasuna Fregoli, Reynold |
| contents | We show that the Hausdorff dimension of $\boldsymbol w$-weighted $τ$-exactly approximable vectors in $\mathbb R^d$ coincides with the Hausdorff dimension of $\boldsymbol w$-weighted $τ$-approximable vectors, generalizing a result of the first named author and De Saxcé. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_12121 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the Hausdorff Dimension of weighted exactly Approximable Vectors Bandi, Prasuna Fregoli, Reynold Number Theory 11J13, 11P21 We show that the Hausdorff dimension of $\boldsymbol w$-weighted $τ$-exactly approximable vectors in $\mathbb R^d$ coincides with the Hausdorff dimension of $\boldsymbol w$-weighted $τ$-approximable vectors, generalizing a result of the first named author and De Saxcé. |
| title | On the Hausdorff Dimension of weighted exactly Approximable Vectors |
| topic | Number Theory 11J13, 11P21 |
| url | https://arxiv.org/abs/2601.12121 |