零级狄里克莱级数的增长性

ON THE GROWTH OF DIRICHLET SERIES OF ZERO ORDER

首先研究了全平面上零级狄里克莱级数的系数和增长性之间的关系，然后证明了对于本级随机狄里克莱级数所确定的随机整函数，在每条水平直线上的增长性几乎必然（ａ．ｓ．）与相应的狄里克莱级数所确定的整函数的增长性相同．

This paper first Studies the relation between coefficients and the growth of Dirichlit se-ries of zero order in the whole plane,and further proves that the growth of random entire functions defined by random Dirichlet series of zero order in every horizotal straight lines is almost surely equal tothe growth of entire functions defined by its corresponding Dirichlet series.