# $\mathbb{Q}$-linear relations of specific families of multiple zeta values and the linear part of Kawashima's relation

## TL;DR

This paper investigates specific families of multiple zeta values related to Kawashima's relation, providing explicit bases and exploring their complex function interpolations, revealing connections to duality and derivation relations.

## Contribution

It introduces explicit bases for these families and shows how duality and derivation relations follow from Kawashima's linear relation.

## Key findings

- Explicit bases for specific multiple zeta value families
- Connections between Kawashima's relation and duality/derivation relations
- Interpolation of families to complex functions

## Abstract

In this paper, we study specific families of multiple zeta values which closely relate to the linear part of Kawashima's relation. We obtain an explicit basis of these families, and investigate their interpolations to complex functions. As a corollary of our main results, we also see that the duality formula and the derivation relation are deduced from the linear part of Kawashima's relation.