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arXiv · 2411.15431

Ohno relation for regularized refined symmetric multiple zeta values

Minoru Hirose·Hideki Murahara·Shingo Saito
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Abstract

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 $0$.

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Minoru Hirose, Hideki Murahara, Shingo Saito. 2024-11-23. Ohno relation for regularized refined symmetric multiple zeta values. https://arxiv.org/abs/2411.15431

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