Multiple zeta values and iterated log-sine integrals
Number Theory
2019-04-23 v1
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.
Cite
@article{arxiv.1904.09717,
title = {Multiple zeta values and iterated log-sine integrals},
author = {Ryota Umezawa},
journal= {arXiv preprint arXiv:1904.09717},
year = {2019}
}
Comments
18 pages