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 |
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| container_title | Transactions of the American Mathematical Society |
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| creator | Delaunay, C. Fricain, E. Mosaki, E. Robert, O. |
| description | 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. |
| doi_str_mv | 10.1090/S0002-9947-2012-05735-7 |
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Amer. Math. Soc</stitle><date>2013-06-01</date><risdate>2013</risdate><volume>365</volume><issue>6</issue><spage>3227</spage><epage>3253</epage><pages>3227-3253</pages><issn>0002-9947</issn><eissn>1088-6850</eissn><abstract>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.</abstract><cop>Providence, Rhode Island</cop><pub>American Mathematical Society</pub><doi>10.1090/S0002-9947-2012-05735-7</doi><tpages>27</tpages><orcidid>https://orcid.org/0000-0002-9929-7419</orcidid><oa>free_for_read</oa></addata></record> |
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| ispartof | Transactions of the American Mathematical Society, 2013-06, Vol.365 (6), p.3227-3253 |
| issn | 0002-9947 1088-6850 |
| language | eng |
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| source | American Mathematical Society Publications (Freely Accessible); Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; JSTOR Mathematics & Statistics; Jstor Complete Legacy; American Mathematical Society Publications |
| subjects | Functional Analysis Mathematics Number Theory Research article |
| title | Zero-free regions for Dirichlet series |
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