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.
Accepted:
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Dennis A. Hejhal 1, 2
@article{CRMATH_2003__337_4_223_0, author = {Dennis A. Hejhal}, title = {On {Euler} products and multi-variate {Gaussians}}, journal = {Comptes Rendus. Math\'ematique}, pages = {223--226}, publisher = {Elsevier}, volume = {337}, number = {4}, year = {2003}, doi = {10.1016/S1631-073X(03)00344-3}, language = {en}, }
Dennis A. Hejhal. On Euler products and multi-variate Gaussians. Comptes Rendus. Mathématique, Volume 337 (2003) no. 4, pp. 223-226. doi : 10.1016/S1631-073X(03)00344-3. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(03)00344-3/
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