Evaluation of power sums of roots for systems of non-algebraic equations in ℂ n
Alexander M. Kytmanov, Е. К. Myshkina · Russian Mathematics · 2013
The goal of this paper is the evaluation of power sums of roots for systems of nonalgebraic equations consisting of entire or meromorphic functions of finite orders 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.