Let X0⋆(k,n,s) denote the
sum of all multiple zeta-star values of weight k, depth n and height s. Kaneko and
Ohno conjectured that, for any positive integers m,n,s with m,n ≥ s, the
difference
can be expressed as a polynomial of zeta values with rational coefficients. We give a
proof of this conjecture.
Keywords
multiple zeta-star values, generalized hypergeometric
function