On Cimmino Integrals as Residues of Zeta Functions

Sergio Venturini ()
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Sergio Venturini: Università di Bologna, Dipartimento Di Matematica

A chapter in Mathematicians in Bologna 1861–1960, 2012, pp 519-538 from Springer

Abstract: 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: Quadratic Form; Meromorphic Function; Zeta Function; Simple Pole; Representation Formula (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-0227-7_22

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DOI: 10.1007/978-3-0348-0227-7_22

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