ELECTRONIC COMMUNICATIONS in PROBABILITY EULER’S FORMULAE FOR ζ(2n) AND PRODUCTS OF CAUCHY VARIABLES (2007)
by
Paul Bourgade
,
Takahiko Fujita
,
Marc Yor
BibTeX
@MISC{Bourgade07electroniccommunications,
author = {Paul Bourgade and Takahiko Fujita and Marc Yor},
title = {ELECTRONIC COMMUNICATIONS in PROBABILITY EULER’S FORMULAE FOR ζ(2n) AND PRODUCTS OF CAUCHY VARIABLES},
year = {2007}
}
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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 C1, C2..., Ck, for any k ≥ 1, where the Ci’s are independent standard Cauchy variables. 1
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