Natural boundary of random Dirichlet series
Abstract
For the random Dirichlet series ∞∑n=0Xn(ω)e−sλn(s=σ+it∈C,0=λ0<λn↑∞) whose coefficients are uniformly nondegenerate independent random variables, we provide some explicit conditions for the line of convergence to be its natural boundary a.s.Published
25.07.2006
Issue
Section
Research articles
How to Cite
Ding, Xiaoqing, and Yimin Xiao. “Natural Boundary of Random Dirichlet Series”. Ukrains’kyi Matematychnyi Zhurnal, vol. 58, no. 7, July 2006, pp. 997–1005, https://umj.imath.kiev.ua/index.php/umj/article/view/3509.