Zeta-functions for germs of meromorphic functions and Newton diagrams
Complex Variables
2008-02-03 v1
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.
Keywords
Cite
@article{arxiv.math/9705227,
title = {Zeta-functions for germs of meromorphic functions and Newton diagrams},
author = {Sabir M. Gusein-Zade and Igancio Luengo and Alejandro Melle-Hernández},
journal= {arXiv preprint arXiv:math/9705227},
year = {2008}
}