MULTIPLE ZETA VALUES AND ITERATED LOG-SINE INTEGRALS

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.