Natural boundaries of Dirichlet series
Bhowmik, Gutami ; Schlage-Puchta, Jan-Christoph
Funct. Approx. Comment. Math., Tome 37 (2007) no. 1, p. 17-29 / Harvested from Project Euclid
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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.
Publié le : 2007-01-15
Classification:  natural boundary,  Dirichlet series,  random series,  omega results,  30B50,  32D15,  11M41,  11N37,  42A61 
@article{1229618738,
     author = {Bhowmik, Gutami and Schlage-Puchta, Jan-Christoph},
     title = {Natural boundaries of Dirichlet series},
     journal = {Funct. Approx. Comment. Math.},
     volume = {37},
     number = {1},
     year = {2007},
     pages = { 17-29},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1229618738}
}

Bhowmik, Gutami; Schlage-Puchta, Jan-Christoph. Natural boundaries of Dirichlet series. Funct. Approx. Comment. Math., Tome 37 (2007) no. 1, pp.  17-29. http://gdmltest.u-ga.fr/item/1229618738/