Zeta-functions for germs of meromorphic functions and Newton diagrams
Sabir M. Gusein-Zade, Igancio Luengo, Alejandro Melle-Hernández
Abstract
For a germ of a meromorphic function f=P/Q, we offer notions of the monodromy 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.
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