半平面内随机Dirichlet级数的增长性

GROWTH OF RANDOM DIRICHLET SERIES IN THE HALF PLANE

本文研究了右半平面上有限正级随机Dirichlet级数的增长性.利用Knopp-Kojima的方法,获得了两类随机Dirichlet级数关于型的三个结果,推广了半平面上有限级随机Dirichlet级数增长性的研究范围.

In this paper, we study the growth of certain finite positive order random Dirichlet series in the right half plane. By the method of Knopp-Kojima, we prove three theorems about the type of two kinds of random Dirichlet series, which extends the research scope of the growth of certain finite order random Dirichlet series in the half plane.