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- W4294538258 abstract "The present article is focused on the study of a special class of systems of nonlinear transcendental equations for which classical algebraic and symbolic methods are inapplicable. For the purpose of the study of such systems, we develop a method for computing residue integrals with integration over certain cycles. We describe conditions under which the mentioned residue integrals coincide with power sums of the inverses to the roots of a system of equations (i.e., multidimensional Waring's formulas). As an application of the suggested method, we consider a problem of finding sums of multi-variable number series." @default.
- W4294538258 created "2022-09-03" @default.
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- W4294538258 date "2017-09-03" @default.
- W4294538258 modified "2023-09-25" @default.
- W4294538258 title "Residue Integrals and Waring's Formulas for a Class of Systems of Transcendental Equations in $mathbb{C}^n$" @default.
- W4294538258 doi "https://doi.org/10.48550/arxiv.1709.00791" @default.
- W4294538258 hasPublicationYear "2017" @default.
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