# Derivation relations and duality for the sum of multiple zeta values

## TL;DR

This paper demonstrates that the duality relation for sums of multiple zeta values can be derived from derivation relations, confirming a conjecture by Kawasaki and Tanaka.

## Contribution

It establishes a connection between duality and derivation relations for multiple zeta values, providing a new proof of Kawasaki and Tanaka's conjecture.

## Key findings

- Duality relation is deduced from derivation relations for multiple zeta values.
- Confirms Kawasaki and Tanaka's conjecture on the derivation relations.
- Provides a new perspective on the structure of multiple zeta values.

## Abstract

We show that the duality relation for the sum of multiple zeta values with fixed weight, depth and $k_1$ is deduced from the derivation relations, which was first conjectured by N. Kawasaki and T. Tanaka.