Natural boundary of Dirichlet series

2007/04/25 by Gautami Bhowmik, Bhowmik, Gautami, Jan-Christoph Schlage-Puchta +1
Mathematics · #30B30 #30B50 #Complex Variables (math.CV) #FOS: Mathematics #Number Theory (math.NT) #math.CV #math.NT #msc:30B30 #msc:30B50

paper · pdf · doi:10.48550/arxiv.0704.3370

arxiv created 2007/04/25 · arxiv updated 2009/12/01

Abstract

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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