  A notion of Milnor fibration for meromorphic functions and the corresponding
concepts of monodromy and monodromy zeta function have been introduced in
[GZLM1]. In this article we define the topological zeta function for
meromorphic germs and we study its poles in the plane case. We show that the
poles do not behave as in the holomorphic case but still do satisfy a
generalization of the monodromy conjecture.
