全平面上无限级随机Dirichlet级数的增长性

The Growth of Dirichlet Series of Infinite Order in the Whole Plane

利用构造全平面上无限级Dirichle级数和H方法,研究了随机Dirichlet级数的增长性,得到了全平面上的随机Dirichlet级数在通过虚轴上每一点与实轴平行的直线上的增长性与级数的增长性相同。

Infinite order Dirichlet series and the method of Lemma were used to study the growth of random Dirichlet series,and it was obtained that random Dirichlet a.s.had the same order type on the every horizontal as its'whole convergence domaina.