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.

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.

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.

Reçu le :
Accepté le :
Publié le :
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://archive.numdam.org/articles/10.1016/S1631-073X(03)00344-3/

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