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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 12, Pages 36–50 (Mi ivm8852)  
This article is cited in 16 scientific papers (total in 16 papers)

Evaluation of power sums of roots for systems of non-algebraic equations in $\mathbb C^n$

A. M. Kytmanov, E. K. Myshkina

Instutute of Mathematics, Siberian Federal University, 79 Svobodnyi Ave., Krasnoyarsk, 660041 Russia
Full-text PDF (241 kB) Citations (16)
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Abstract: The goal of this paper is the evaluation of power sums of roots for systems of non-algebraic equations consisting of entire or meromorphic functions of finite order of growth. These power sums are connected with some residue integrals different from the Grothendieck residues. As an application we evaluate sums of certain multiple series.
Keywords: non-algebraic systems of equations, power sums of roots, residue integral.
Received: 26.07.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, Volume 57, Issue 12, Pages 31–43
DOI: https://doi.org/10.3103/S1066369X13120049
Bibliographic databases:
Document Type: Article
UDC: 517.55
Language: Russian
Citation: A. M. Kytmanov, E. K. Myshkina, “Evaluation of power sums of roots for systems of non-algebraic equations in $\mathbb C^n$”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 12, 36–50; Russian Math. (Iz. VUZ), 57:12 (2013), 31–43
Citation in format AMSBIB
\Bibitem{KytMys13}
\by A.~M.~Kytmanov, E.~K.~Myshkina
\paper Evaluation of power sums of roots for systems of non-algebraic equations in~$\mathbb C^n$
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2013
\issue 12
\pages 36--50
\mathnet{http://mi.mathnet.ru/ivm8852}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2013
\vol 57
\issue 12
\pages 31--43
\crossref{https://doi.org/10.3103/S1066369X13120049}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84890501040}
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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