  We give explicit expressions (or at least an algorithm of obtaining such
expressions) of the coefficients of the Laurent series expansions of the
Euler-Zagier multiple zeta-functions at any integer points. The main tools are
the Mellin-Barnes integral formula and the harmonic product formulas. The
Mellin-Barnes integral formula is used in the induction process on the number
of variables, and the harmonic product formula is used to show that the Laurent
series expansion outside the domain of convergence can be obtained from that
inside the domain of convergence.
