Geodesic
Some examples of finding the sums of multiple series
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 7 (2014) no. 4, pp. 515-529

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A method of finding residue integrals for some systems of non-algebraic equations are presented. Such integrals are connected to the power sums of roots for the system of equations. It is shown how the obtained results can be used for calculating sums of multidimensional series.
Keywords: residue integral, power sum, multiple series. 
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     title = {Some examples of finding the sums of multiple series},
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Evgeniya K. Myshkina. Some examples of finding the sums of multiple series. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 7 (2014) no. 4, pp. 515-529. http://geodesic.mathdoc.fr/item/JSFU_2014_7_4_a9/