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- W2751565493 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.
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- W2751565493 date "2017-09-04" @default.
- W2751565493 modified "2023-09-27" @default.
- W2751565493 title "Residue Integrals and Waring's Formulas for a Class of Systems of Transcendental Equations in $mathbb{C}^n$" @default.
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