平面上的零级Dirichlet级数

ZERO ORDER DIRICHLET SERIES ON THE PLANE

应用最大项指标,在较宽的系数条件下,对复平面上的零级数Dirichlet级数进行了深入的研究,得到关于它们增长性的两个定理,即文中定理1和定理2．

In this paper, the zero order Dirichlet series on the complex plane is thoroughly studied using index of the maxium term and relatively loose coefficient conditions. And concerning the growth of the zero order Dirichlet series two theorems （namely Theorem 1 and Theorem 2） are obtained.