On Cimmino Integrals as Residues of Zeta Functions

Details On Cimmino Integrals as Residues of Zeta Functions On Cimmino Integrals as Residues of Zeta Functions

2012-01-24

arxiv.org/abs/1201.5016v1

Mathematics

Complex Variables

17 pages, to appear in Mathematicians in Bologna 1861-1960, Salvatore Coen (Editor), Universit\`a di bologna, Italy, Birkh\"au

Scientific paper

The following paper is a variation on a theme of Gianfranco Cimmino on some integral representation formulas for the solution of a linear equations system. Cimmino was probably motivated for giving a representation formula suitable not only for theoretical investigations but also for applied computation. In this paper we will prove that the Cimmino integrals are strictly related to the residues of some zeta-like functions associated to the linear system.

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