Ohno relation for regularized refined symmetric multiple zeta values

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Authors: Minoru Hirose, Hideki Murahara, Shingo Saito
Cited by: 0
References: 11

Abstract

Abstract 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.

Fields of Study & Subjects

Advanced Mathematical Identities Molecular spectroscopy and chirality Analytic Number Theory Research

Publication details

Journal / source
The Ramanujan Journal
Publisher
Springer Science and Business Media LLC
Volume
70
Issue
1
Publication date
1 May 2026
Language
EN