Derivation relation for finite multiple zeta values in $\widehat{\mathcal{A}}$

TL;DR

This paper generalizes the derivation relation for finite multiple zeta values from the algebra A to the more comprehensive algebra A, expanding the theoretical framework of multiple zeta values.

Contribution

It extends the derivation relation for finite multiple zeta values to the algebra A, providing a broader mathematical context.

Findings

Generalization of derivation relation to A

Enhanced understanding of finite multiple zeta values

Foundation for further algebraic investigations

Abstract

Ihara, Kaneko, and Zagier proved the derivation relation for multiple zeta values. The first named author obtained its counterpart for finite multiple zeta values in $\mathcal{A}$. In this paper, we present its generalization in $\mathcal{A}_{n}$.