On Cimmino Integrals as Residues of Zeta Functions
Complex Variables
2012-01-25 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1201.5016,
title = {On Cimmino Integrals as Residues of Zeta Functions},
author = {Sergio Venturini},
journal= {arXiv preprint arXiv:1201.5016},
year = {2012}
}
Comments
17 pages, to appear in Mathematicians in Bologna 1861-1960, Salvatore Coen (Editor), Universit\`a di bologna, Italy, Birkh\"auser. ISBN 978-3-0348-0226-0