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arxiv: 0704.3370 · v1 · submitted 2007-04-25 · 🧮 math.CV · math.NT

Natural boundary of Dirichlet series

classification 🧮 math.CV math.NT
keywords naturalboundariesboundarydirichletseriesapplicationasymptoticconditions
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We prove some conditions on the existence of natural boundaries of Dirichlet series. We show that generically the presumed boundary is the natural one. We also give an application of natural boundaries in determining asymptotic results.

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