# Multiple zeta values and iterated log-sine integrals

## TL;DR

This paper introduces iterated log-sine integrals, establishes their connection to multiple polylogarithms, and presents a new method for deriving relations among multiple zeta values, offering alternative proofs for known results.

## Contribution

It develops an iterated integral framework for log-sine integrals and introduces a novel approach to relate and analyze multiple zeta values.

## Key findings

- Established a relation between multiple polylogarithms and iterated log-sine integrals.
- Provided a new method for deriving relations among multiple zeta values.
- Offered alternative proofs for several known results in the field.

## Abstract

We introduce an iterated integral version of (generalized) log-sine integrals (iterated log-sine integrals) and prove a relation between a multiple polylogarithm and iterated log-sine integrals. We also give a new method for obtaining relations among multiple zeta values, which uses iterated log-sine integrals, and give alternative proofs of several known results related to multiple zeta values and log-sine integrals.