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.
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@article{CRMATH_2003__337_4_223_0, author = {Hejhal, Dennis A.}, 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}, url = {http://www.numdam.org/articles/10.1016/S1631-073X(03)00344-3/} }
TY - JOUR AU - Hejhal, Dennis A. TI - On Euler products and multi-variate Gaussians JO - Comptes Rendus. Mathématique PY - 2003 SP - 223 EP - 226 VL - 337 IS - 4 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/S1631-073X(03)00344-3/ DO - 10.1016/S1631-073X(03)00344-3 LA - en ID - CRMATH_2003__337_4_223_0 ER -
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://www.numdam.org/articles/10.1016/S1631-073X(03)00344-3/
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