Single-valued periods and multiple zeta values

TL;DR

This paper investigates the algebra of single-valued multiple polylogarithm values at 1, exploring their structure within the framework of motivic periods and their relation to multiple zeta values.

Contribution

It introduces a motivic perspective on the algebra of single-valued multiple polylogarithm values, revealing new structural properties and connections to multiple zeta values.

Findings

Identifies a subalgebra of multiple zeta values generated by single-valued polylogarithm values at 1.

Provides motivic period analysis of this subalgebra.

Establishes structural properties linking single-valued polylogarithms and multiple zeta values.

Abstract

The values at 1 of single-valued multiple polylogarithms span a certain subalgebra of multiple zeta values. In this paper, the properties of this algebra are studied from the point of view of motivic periods.