GENERALIZED HARMONIC NUMBER SUMS AND QUASISYMMETRIC FUNCTIONS

We express some general type of infinite series such as Sigma F-infinity(n=1)(H-n((m))(z), H-n((2m)) (z), ...., H-n((lm)) (z))/(n + z)(s1) (n + 1 + z)s(2) ...(n + k - + z)(sk,) where F(x(1),...x(l)) is an element of Q([X-1, ... x(l)], H-n((m))(z) = Sigma(n)(j=1)(1/j+z)(m), z is an element of (-1, 0], and S-1,..., s(k) are nonnegative integers with S-1 + ... + s(k) >= 2, as a linear combination of multiple Hurwitz zeta functions and some special values of k(n)((m)) (z).