Open Access
January 2007 Natural boundaries of Dirichlet series
Jan-Christoph Schlage-Puchta, Gutami Bhowmik
Funct. Approx. Comment. Math. 37(1): 17-29 (January 2007). DOI: 10.7169/facm/1229618738

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.

Citation

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Jan-Christoph Schlage-Puchta. Gutami Bhowmik. "Natural boundaries of Dirichlet series." Funct. Approx. Comment. Math. 37 (1) 17 - 29, January 2007. https://doi.org/10.7169/facm/1229618738

Information

Published: January 2007
First available in Project Euclid: 18 December 2008

zbMATH: 1146.30002
MathSciNet: MR2357306
Digital Object Identifier: 10.7169/facm/1229618738

Subjects:
Primary: 30B50
Secondary: 11M41 , 11N37 , 32D15 , 42A61

Keywords: Dirichlet series , natural boundary , omega results , Random series

Rights: Copyright © 2007 Adam Mickiewicz University

Vol.37 • No. 1 • January 2007
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