  The conical zeta values are a generalization of the multiple zeta values
which are defined by certain multiple sums over convex cones. In this paper, we
present a relation between the values of the Dedekind zeta functions for
totally real fields and the conical zeta values for certain algebraic cones.
More precisely, we show that the values of the partial zeta functions for
totally real fields can be expressed as a rational linear combination of the
conical zeta values associated with certain algebraic cones up to the square
root of the discriminant.
