Ohno relation for regularized refined symmetric multiple zeta values
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916493114998784 |
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| author | Hirose, Minoru Murahara, Hideki Saito, Shingo |
| author_facet | Hirose, Minoru Murahara, Hideki Saito, Shingo |
| contents | The Ohno relation is one of the most celebrated results in the theory of multiple zeta values, which are iterated integrals from $0$ to $1$. In a previous paper, the authors generalized the Ohno relation to regularized multiple zeta values, which are non-admissible iterated integrals from $0$ to $1$. Meanwhile, Takeyama proved an analogue of the Ohno relation for refined symmetric multiple zeta values, which are iterated integrals from $0$ to $0$. In this paper, we generalize Takeyama's result to regularized refined symmetric multiple zeta values, which are non-admissible iterated integrals from $0$ to $0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_15431 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Ohno relation for regularized refined symmetric multiple zeta values Hirose, Minoru Murahara, Hideki Saito, Shingo Number Theory Primary 11M32 The Ohno relation is one of the most celebrated results in the theory of multiple zeta values, which are iterated integrals from $0$ to $1$. In a previous paper, the authors generalized the Ohno relation to regularized multiple zeta values, which are non-admissible iterated integrals from $0$ to $1$. Meanwhile, Takeyama proved an analogue of the Ohno relation for refined symmetric multiple zeta values, which are iterated integrals from $0$ to $0$. In this paper, we generalize Takeyama's result to regularized refined symmetric multiple zeta values, which are non-admissible iterated integrals from $0$ to $0$. |
| title | Ohno relation for regularized refined symmetric multiple zeta values |
| topic | Number Theory Primary 11M32 |
| url | https://arxiv.org/abs/2411.15431 |