Julia lines of general random Dirichlet series
Czechoslovak Mathematical Journal, Tome 62 (2012) no. 4, pp. 919-936.

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In this paper, we consider a random entire function f(s,ω) defined by a random Dirichlet series n=1Xn(ω)eλns where Xn are independent and complex valued variables, 0λn+. 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. R. Yu: Julia lines of random Dirichlet series. Bull. Sci. Math. 128 (2004), 341–353, by relaxing condition on the distribution of Xn for such function f(s,ω) of order (R) zero, almost surely.
DOI : 10.1007/s10587-012-0074-x
Classification : 30B20, 30B50, 30D05, 30D20, 30D35, 60G99
Mots-clés : random Dirichlet series; order (R); Julia lines; entire function
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     title = {Julia lines of general random {Dirichlet} series},
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Jin, Qiyu; Deng, Guantie; Sun, Daochun. Julia lines of general random Dirichlet series. Czechoslovak Mathematical Journal, Tome 62 (2012) no. 4, pp. 919-936. doi : 10.1007/s10587-012-0074-x. https://geodesic-test.mathdoc.fr/articles/10.1007/s10587-012-0074-x/

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