On the decomposition of motivic multiple zeta values

TL;DR

This paper reviews the motivic structure of multiple zeta values and introduces an exact numerical algorithm for decomposing any motivic multiple zeta value into a basis up to a given weight.

Contribution

It provides a new algorithm for decomposing motivic multiple zeta values into a basis, enhancing computational methods in this area.

Findings

Algorithm accurately decomposes motivic multiple zeta values

Improves computational efficiency for basis decomposition

Advances understanding of motivic structures

Abstract

We review motivic aspects of multiple zeta values, and as an application, we give an exact-numerical algorithm to decompose any (motivic) multiple zeta value of given weight into a chosen basis up to that weight.