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Le critère de Li et l'hypothèse de Riemann pour la classe de Selberg |
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| Authors: | Sami Omar Kamel Mazhouda |
| Affiliation: | a Faculté des Sciences de Tunis, Département de mathématiques, 2092 Campus Universitaire El Manar, Tunisie b Faculté des Sciences de Monastir, Département de mathématiques, Monastir 5000, Tunisie |
| Abstract: | We generalise Li's criterion, already known for the Riemann zeta function, to a large class of Dirichlet series. We give first an explicit formula for the coefficients  , for all positive integers n and ρ runs over all the non-trivial zeros of a function F in this class. To do so, we use the Weil Explicit Formula. |
| Keywords: | Selberg class Riemann hypothesis Li's criterion |
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