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<p>The Ohno relation is one of the most celebrated results in the theory of multiple zeta values, which are given in the form of iterated integrals from 0 to 1. In a previous paper, the authors generalized the Ohno relation to regularized multiple zeta values, which are given in the form of 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.</p>

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Ohno relation for regularized refined symmetric multiple zeta values

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  • 发表日期：

    2026年5月4日

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  • Minoru Hirose,
  • Hideki Murahara,
  • Shingo Saito

摘要

The Ohno relation is one of the most celebrated results in the theory of multiple zeta values, which are given in the form of iterated integrals from 0 to 1. In a previous paper, the authors generalized the Ohno relation to regularized multiple zeta values, which are given in the form of 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.