Zero free regions for Dirichlet series
Résumé
In this paper, we are interested in explicit zero-free discs for some Dirichlet series and we also study a general Beurling-Nyman criterion for $L$-functions. Our results generalize and improve previous results obtained by N.~Nikolski and by A.~de Roton. As a concrete application, we get, for example, a Beurling-Nyman type criterion for the Siegel zero problem.
| Origine | Fichiers produits par l'(les) auteur(s) |
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