Geodesic
Number Theory
On Euler products and multi-variate Gaussians
[Sur les produits eulériens et les gaussiennes multidimensionnelles]

Présenté par : Alain Connes

Hejhal, Dennis A.1, 2
1 Department of Mathematics, Uppsala University, Box 480, 75106 Uppsala, Sweden
2 School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA
Comptes Rendus. Mathématique, Tome 337 (2003) no. 4, pp. 223-226.

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In this Note, we extend a recent result of A. Selberg concerning the asymptotic value distribution of Euler products to a multi-dimensional setting. Under certain conditions, an asymptotic development of Edgeworth type is found.

Nous généralisons à plusieurs variables un résultat récent de A. Selberg concernant la distribution asymptotique de valeurs des produits Eulériens. Sous certaines hypothèses un développement asymptotique de type Edgeworth est établi.

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Accepté le :
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DOI : 10.1016/S1631-073X(03)00344-3

Hejhal, Dennis A. 1, 2

1 Department of Mathematics, Uppsala University, Box 480, 75106 Uppsala, Sweden
2 School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA 
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Hejhal, Dennis A. On Euler products and multi-variate Gaussians. Comptes Rendus. Mathématique, Tome 337 (2003) no. 4, pp. 223-226. doi : 10.1016/S1631-073X(03)00344-3. http://geodesic.mathdoc.fr/articles/10.1016/S1631-073X(03)00344-3/

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