# Quasi-derivation relations for multiple zeta values revisited

## TL;DR

This paper revisits quasi-derivation relations in multiple zeta values, providing a new formula that simplifies proofs and extends the relations to finite multiple zeta values.

## Contribution

It introduces a new formula for the quasi-derivation operator, simplifying proofs and extending relations to finite multiple zeta values.

## Key findings

- Simplified proof of quasi-derivation relations.
- Extended relations to finite multiple zeta values.
- Provided a new formula for the quasi-derivation operator.

## Abstract

We take another look at the so-called quasi-derivation relations in the theory of multiple zeta values, by giving a certain formula for the quasi-derivation operator. In doing so, we are not only able to prove the quasi-derivation relations in a simpler manner but also give an analog of the quasi-derivation relations for finite multiple zeta values.