Evaluation of iterated log-sine integrals in terms of multiple polylogarithms
Number Theory
2019-12-17 v1
Abstract
It is known that multiple zeta values can be written in terms of certain iterated log-sine integrals. Conversely, we evaluate iterated log-sine integrals in terms of multiple polylogarithms and multiple zeta values in this paper. We also suggest some conjectures on multiple zeta values, multiple Clausen values, multiple Glaisher values and iterated log-sine integrals.
Keywords
Cite
@article{arxiv.1912.07201,
title = {Evaluation of iterated log-sine integrals in terms of multiple polylogarithms},
author = {Ryota Umezawa},
journal= {arXiv preprint arXiv:1912.07201},
year = {2019}
}
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22 pages