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 Electronic Communications in Probability > Vol. 12 (2007) > Paper 9 open journal systems 


Euler's formulae for ζ(2n) and products of Cauchy variables

Paul Bourgade, Laboratoire de probabilités et modèles aléatoires, université Paris 6
Takahiko Fujita, Graduate School of Commerce and management, Hitotsubashi University
Marc Yor, Laboratoire de probabilités et modèles aléatoires, université Paris 6


Abstract
We show how to recover Euler's formula for ζ(2n), as well as Lχ4(2n+1), for any integer n, from the knowledge of the density of the product of independent standard Cauchy variables.


Full text: PDF

Pages: 73-80

Published on: April 7, 2007


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Electronic Communications in Probability. ISSN: 1083-589X