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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 5, Pages 1073–1082 (Mi smj1790)  
This article is cited in 9 scientific papers (total in 9 papers)

On the zeta-function of systems of nonlinear equations

A. M. Kytmanov, S. G. Myslivets

Siberian Federal University
Full-text PDF (324 kB) Citations (9)
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Abstract: We introduce the concept of zeta-function for a system of meromorphic functions $f=(f_1,\dots,f_n)$ in $\mathbb C^n$. 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.
Received: 12.07.2005
Revised: 07.07.2007
English version:
Siberian Mathematical Journal, 2007, Volume 48, Issue 5, Pages 863–870
DOI: https://doi.org/10.1007/s11202-007-0088-z
Bibliographic databases:
UDC: 517.55
Language: Russian
Citation: A. M. Kytmanov, S. G. Myslivets, “On the zeta-function of systems of nonlinear equations”, Sibirsk. Mat. Zh., 48:5 (2007), 1073–1082; Siberian Math. J., 48:5 (2007), 863–870
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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