Geodesic
Number Theory
On the horizontal distribution of zeros of linear combinations of Euler products
[Sur la distribution horizontale des zéros de combinaisons linéaires des produits eulériens]

Présenté par : Alain Connes

Hejhal, Dennis A.1, 2
1 Department of Mathematics, Box 480, Uppsala University, 75106 Uppsala, Sweden
2 School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA
Comptes Rendus. Mathématique, Tome 338 (2004) no. 10, pp. 755-758.

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We investigate the behavior of the zero counting function of certain natural Dirichlet series with functional equation in the immediate vicinity of the critical line { Re (s)=1 2}.

Nous étudions certaines séries de Dirichlet naturelles qui satisfont une équation fonctionelle ainsi qu'une fonction dénombrant leurs zéros dans certains domaines rectangulaires proches de la droite critique { Re (s)=1 2}.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2004.03.022

Hejhal, Dennis A. 1, 2

1 Department of Mathematics, Box 480, Uppsala University, 75106 Uppsala, Sweden
2 School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA 
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Hejhal, Dennis A. On the horizontal distribution of zeros of linear combinations of Euler products. Comptes Rendus. Mathématique, Tome 338 (2004) no. 10, pp. 755-758. doi : 10.1016/j.crma.2004.03.022. http://geodesic.mathdoc.fr/articles/10.1016/j.crma.2004.03.022/

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