Zero-free regions for Dirichlet series

Zero-free regions for Dirichlet series

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 LL-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...

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Veröffentlicht in:Transactions of the American Mathematical Society 2013-06, Vol.365 (6), p.3227-3253
Hauptverfasser: Delaunay, C., Fricain, E., Mosaki, E., Robert, O.
Format: Artikel
Sprache:eng
Schlagworte:
Functional Analysis
Mathematics
Number Theory
Research article
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Zusammenfassung: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 LL-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.
ISSN:0002-9947
1088-6850
DOI:10.1090/S0002-9947-2012-05735-7