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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 12, Pages 36–50
(Mi ivm8852)
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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
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
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
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https://www.mathnet.ru/eng/ivm8852 https://www.mathnet.ru/eng/ivm/y2013/i12/p36
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Abstract page: | 322 | Full-text PDF : | 95 | References: | 43 | First page: | 7 |
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