A note on Ohno sums for multiple zeta values
Hideki Murahara

TL;DR
This paper proves one of the conjectural formulas related to Ohno sums for multiple zeta values, advancing understanding of their algebraic relations.
Contribution
It provides a proof for one of the five conjectural formulas involving Ohno sums, contributing to the theoretical understanding of multiple zeta values.
Findings
Proved one conjectural formula for Ohno sums
Enhanced the theoretical framework of multiple zeta value relations
Supported the conjectural structure of Ohno-related formulas
Abstract
The Ohno relation is a well-known relation among multiple zeta values. Hirose, Onozuka, Sato, and the author investigated the sum related to the Ohno relation and presented two types of new relations and five conjectural formulas. This paper proves one of these formulas.
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