Julia lines of random Dirichlet series

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Julia Lines of General Random Dirichlet Series

In this paper, we consider a random entire function f(s, ω) defined by a random Dirichlet series ∑∞ n=1Xn(ω)e −λns whereXn are independent and complex valued variables, 0 6 λn ր +∞. We prove that under natural conditions, for some random entire functions of order (R) zero f(s, ω) almost surely every horizontal line is a Julia line without an exceptional value. The result improve a theorem of J....

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ژورنال

عنوان ژورنال: Bulletin des Sciences Mathématiques

سال: 2004

ISSN: 0007-4497

DOI: 10.1016/j.bulsci.2004.02.005