Comptes Rendus
no. 10
Number Theory
On the horizontal distribution of zeros of linear combinations of Euler products
Alain Connes
Dennis A. Hejhal1, 2
1Department of Mathematics, Box 480, Uppsala University, 75106 Uppsala, Sweden
2School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA
Comptes Rendus. Mathématique, Volume 338 (2004) no. 10, pp. 755-758

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}.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2004.03.022

Dennis A. Hejhal  1 , 2

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