Some explicit values of a $q$-multiple zeta-star function at roots of unity
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908413069361152 |
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| author | Komatsu, Takao |
| author_facet | Komatsu, Takao |
| contents | In this paper, we show some expressions of certain $q$-multiple zeta-star values at roots of unity. These explicit formulas are expressed by using the determinants or Bell polynomials. Explicit formulas for other types of values can be found from recurrence relations obtained using generating functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_11207 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Some explicit values of a $q$-multiple zeta-star function at roots of unity Komatsu, Takao Number Theory Combinatorics In this paper, we show some expressions of certain $q$-multiple zeta-star values at roots of unity. These explicit formulas are expressed by using the determinants or Bell polynomials. Explicit formulas for other types of values can be found from recurrence relations obtained using generating functions. |
| title | Some explicit values of a $q$-multiple zeta-star function at roots of unity |
| topic | Number Theory Combinatorics |
| url | https://arxiv.org/abs/2505.11207 |