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Multiple zeta values and iterated log-sine integrals

Authors :
Ryota Umezawa
Publication Year :
2019
Publisher :
arXiv, 2019.

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.<br />Comment: 18 pages

Details

Database :
OpenAIRE
Accession number :
edsair.doi.dedup.....6a93d692ade8415d3504a300cdc5a0f4
Full Text :
https://doi.org/10.48550/arxiv.1904.09717