0 M ay 1 99 7 Zeta - functions for germs of meromorphic functions and Newton diagrams
نویسنده
چکیده
For a germ of a meromorphic function f = P Q , we offer notions of the mono-dromy operators at zero and at infinity. If the holomorphic functions P and Q are non-degenerated with respect to their Newton diagrams, we give an analogue of the formula of Varchenko for the zeta-functions of these monodromy operators. A polynomial f of (n + 1) complex variables of degree d determines a meromorphic function f on CP n+1. If one wants to understand the behaviour of f at infinity, it is natural to analize germs of the meromorphic function f at points from the infinite hyperplane
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