Diophantine approximation of multiple zeta-star values
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911014712246272 |
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| author | Li, Jiangtao |
| author_facet | Li, Jiangtao |
| contents | The set of multiple zeta-star values is a countable dense subset of the half line $(1,+\infty)$. In this paper, we establish some classical Diophantine type results for the set of multiple zeta-star values. Firstly, we give a criterion to determine whether a number is a multiple zeta-star value. Secondly, we establish the zero-one law for the set of multiple zeta-star value. Lastly, we propose a conjecture for the set of multiple zeta-star values, which strengthens the original zero-one law. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_23286 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Diophantine approximation of multiple zeta-star values Li, Jiangtao Number Theory Classical Analysis and ODEs The set of multiple zeta-star values is a countable dense subset of the half line $(1,+\infty)$. In this paper, we establish some classical Diophantine type results for the set of multiple zeta-star values. Firstly, we give a criterion to determine whether a number is a multiple zeta-star value. Secondly, we establish the zero-one law for the set of multiple zeta-star value. Lastly, we propose a conjecture for the set of multiple zeta-star values, which strengthens the original zero-one law. |
| title | Diophantine approximation of multiple zeta-star values |
| topic | Number Theory Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2503.23286 |