零级Dirichlet级数及随机Dirichlet级数的增长性

The growth of Dirichlet series and random Dirichlet series of zero order

研究了右半平面内零级Dirichlet级数的增长性,得到了其关于型函数的级与其系数之间的关系,并证明了它所确定的零级随机Dirichlet级数的增长性几乎必然与其在每条水平直线上的增长性相同.

This paper studies the growth of Dirichlet series of zero order, and obtains the relations between the order on the type - function and the coefficients of Dirichlet series, and further proves that the growth of random Dirichlet series of zero order in every horizontal straight lines is almost surely equal to its corresponding Dirichlet series.