Natural boundary of random Dirichlet series

• Date: 2006
• Main Authors: Ding, Xiaoqing, Xiao, Yimin, Дін, Сяоцин, Сяо, Імінь
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2006
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3509
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For the random Dirichlet series $$\sum\limits_{n = 0}^\infty {X_n (\omega )e^{ - s\lambda _n } } (s = \sigma + it \in \mathbb{C}, 0 = \lambda _0 < \lambda _n \uparrow \infty )$$ whose coefficients are uniformly nondegenerate independent random variables, we provide some explicit con...