English

Ohno relation for regularized refined symmetric multiple zeta values

Number Theory 2024-11-26 v1

Abstract

The Ohno relation is one of the most celebrated results in the theory of multiple zeta values, which are iterated integrals from 00 to 11. In a previous paper, the authors generalized the Ohno relation to regularized multiple zeta values, which are non-admissible iterated integrals from 00 to 11. Meanwhile, Takeyama proved an analogue of the Ohno relation for refined symmetric multiple zeta values, which are iterated integrals from 00 to 00. In this paper, we generalize Takeyama's result to regularized refined symmetric multiple zeta values, which are non-admissible iterated integrals from 00 to 00.

Keywords

Cite

@article{arxiv.2411.15431,
  title  = {Ohno relation for regularized refined symmetric multiple zeta values},
  author = {Minoru Hirose and Hideki Murahara and Shingo Saito},
  journal= {arXiv preprint arXiv:2411.15431},
  year   = {2024}
}
R2 v1 2026-06-28T20:09:49.229Z