Multiple zeta-star values and multiple integrals
Number Theory
2014-05-27 v1
Abstract
We prove a kind of integral expressions for finite multiple harmonic sums and multiple zeta-star values. Moreover, we introduce a class of multiple integrals, associated with some combinatorial data (called 2-labeled posets). This class includes both multiple zeta and zeta-star values of Euler-Zagier type, and also several other types of multiple zeta values. We show that these integrals can be used to obtain some relations among such zeta values quite transparently.
Cite
@article{arxiv.1405.6499,
title = {Multiple zeta-star values and multiple integrals},
author = {Shuji Yamamoto},
journal= {arXiv preprint arXiv:1405.6499},
year = {2014}
}