  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.

Number Theory