Hausdorff measure of sets of inhomogeneous Dirichlet non-improvable affine forms with weights
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866908374354886656 |
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| author | He, Yubin |
| author_facet | He, Yubin |
| contents | Under a reasonable decay assumption on the approximating function, we establish a zero-full law for the Hausdorff measure of sets of inhomogeneous Dirichlet non-improvable affine forms with weights, thereby answering a question posed by Kim and Kim (§5.3, Adv. Math., 2022). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_16473 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hausdorff measure of sets of inhomogeneous Dirichlet non-improvable affine forms with weights He, Yubin Number Theory Under a reasonable decay assumption on the approximating function, we establish a zero-full law for the Hausdorff measure of sets of inhomogeneous Dirichlet non-improvable affine forms with weights, thereby answering a question posed by Kim and Kim (§5.3, Adv. Math., 2022). |
| title | Hausdorff measure of sets of inhomogeneous Dirichlet non-improvable affine forms with weights |
| topic | Number Theory |
| url | https://arxiv.org/abs/2505.16473 |