On a Kurzweil type theorem via ubiquity
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866911765775777792 |
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| author | Kim, Taehyeong |
| author_facet | Kim, Taehyeong |
| contents | Kurzweil's theorem ('55) is concerned with zero-one laws for well approximable targets in inhomogeneous Diophantine approximation under the badly approximable assumption. In this article, we prove the divergent part of a Kurzweil type theorem via a suitable construction of ubiquitous systems when the badly approximable assumption is relaxed. Moreover, we also discuss some counterparts of Kurzweil's theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_00847 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On a Kurzweil type theorem via ubiquity Kim, Taehyeong Number Theory Kurzweil's theorem ('55) is concerned with zero-one laws for well approximable targets in inhomogeneous Diophantine approximation under the badly approximable assumption. In this article, we prove the divergent part of a Kurzweil type theorem via a suitable construction of ubiquitous systems when the badly approximable assumption is relaxed. Moreover, we also discuss some counterparts of Kurzweil's theorem. |
| title | On a Kurzweil type theorem via ubiquity |
| topic | Number Theory |
| url | https://arxiv.org/abs/2306.00847 |