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On the zeta-function of systems of nonlinear equations
Authors:A M Kytmanov  S G Myslivets
Institution:(1) Siberian Federal University, Krasnoyarsk, Russia
Abstract:We introduce the concept of zeta-function for a system of meromorphic functions f = (f 1,..., f n) in ?n. Using residue theory, we give an integral representation for the zeta-function which enables us to construct an analytic continuation of the zeta-function.
Keywords:nonlinear system  zeta-function  multidimensional residue
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