Geodesic
Examples of computing power sums of roots of systems of equations
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 2, pp. 176-182.

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Examples of computing power sums of roots of systems of equations, including transcendental, are considered. Since the number of roots of such systems is, as a rule, infinite, it is necessary to study the power sums of roots in a negative degree. Formulas for finding residue integrals, their connection with power sums of roots to a negative degree, multidimensional analogues of Waring's formulas are given.
Keywords: transcendental systems of equations, power sums of roots, residue integrals. 
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Evgeniya K. Myshkina. Examples of computing power sums of roots of systems of equations. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 2, pp. 176-182. http://geodesic.mathdoc.fr/item/JSFU_2023_16_2_a2/

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