Winning of inhomogeneous bad for curves
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866929584248717312 |
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| author | Datta, Shreyasi Shao, Liyang |
| author_facet | Datta, Shreyasi Shao, Liyang |
| contents | We prove the absolute winning property of weighted simultaneous inhomogeneous badly approximable vectors on non-degenerate analytic curves. This answers a question by Beresnevich, Nesharim, and Yang. In particular, our result is an inhomogeneous version of the main result in \cite{BNY22} by Beresnevich, Nesharim, and Yang. Also, the generality of the inhomogeneous part that we considered extends the previous result in \cite{ABV}. Moreover, our results even contribute to classical results, namely establishing the inhomogeneous Schmidt's conjecture in arbitrary dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_02018 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Winning of inhomogeneous bad for curves Datta, Shreyasi Shao, Liyang Number Theory Dynamical Systems 11J13, 11J83, 37A17 We prove the absolute winning property of weighted simultaneous inhomogeneous badly approximable vectors on non-degenerate analytic curves. This answers a question by Beresnevich, Nesharim, and Yang. In particular, our result is an inhomogeneous version of the main result in \cite{BNY22} by Beresnevich, Nesharim, and Yang. Also, the generality of the inhomogeneous part that we considered extends the previous result in \cite{ABV}. Moreover, our results even contribute to classical results, namely establishing the inhomogeneous Schmidt's conjecture in arbitrary dimensions. |
| title | Winning of inhomogeneous bad for curves |
| topic | Number Theory Dynamical Systems 11J13, 11J83, 37A17 |
| url | https://arxiv.org/abs/2309.02018 |