Explicit Evaluation of Euler-Apéry Type Multiple Zeta Star Values and Multiple $t$-Star Values
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866908478131404800 |
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| author | Xu, Ce Zhao, Jianqiang |
| author_facet | Xu, Ce Zhao, Jianqiang |
| contents | In this paper we establish several recurrence relations about Euler-Apéry type multiple zeta star values and a parametric variant of it by using the method of iterated integrals. Then using the formulas obtained, we find the explicit evaluations for some specific Euler-Apéry type multiple zeta star values and one of its parametric variant, and Euler-Apéry type multiple $t$-star values. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_04242 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Explicit Evaluation of Euler-Apéry Type Multiple Zeta Star Values and Multiple $t$-Star Values Xu, Ce Zhao, Jianqiang Number Theory In this paper we establish several recurrence relations about Euler-Apéry type multiple zeta star values and a parametric variant of it by using the method of iterated integrals. Then using the formulas obtained, we find the explicit evaluations for some specific Euler-Apéry type multiple zeta star values and one of its parametric variant, and Euler-Apéry type multiple $t$-star values. |
| title | Explicit Evaluation of Euler-Apéry Type Multiple Zeta Star Values and Multiple $t$-Star Values |
| topic | Number Theory |
| url | https://arxiv.org/abs/2205.04242 |