  In this paper we define and study a Dedekind-like zeta function for the
algebra of multicomplex numbers. By using the idempotent representations for
such numbers, we are able to identify this zeta function with the one
associated to a product of copies of the field of Gaussian rationals. The
approach we use is substantially different from the one previously introduced
by Rochon (for the bicomplex case) and by Reid and Van Gorder (for the
multicomplex case).
