| Título: | Euler's formulae for $\zeta(2n)$ and products of Cauchy variables |
| Autores: |
Bourgade, Paul; Laboratoire de probabilités et modèles aléatoires, université Paris 6 Fujita, Takahiko; Graduate School of Commerce and management, Hitotsubashi University Yor, Marc; Laboratoire de probabilités et modèles aléatoires, université Paris 6 |
| Fecha: | 2007-01-01 |
| Publicador: | Electronic communications in probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: | Cauchy variables, stable variables, planar Brownian motion, Euler numbers. |
| Descripción: | We show how to recover Euler's formula for $\zeta(2n)$, as well as $L_{\chi_4}(2n+1)$, for any integer $n$, from the knowledge of the density of the product $\mathbb{C}_1,\mathbb{C}_2\ldots,\mathbb{C}_k$, for any $k\geq 1$, where the $\mathbb{C}_i$'s are independent standard Cauchy variables. |
| Idioma: | No aplica |
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