零级Dirichet级数的增长性及其Dirichlet-Hadamard乘积
THE GROWTH AND DIRICHLET-HADAMARD PRODUCT OF DIRICHLET SERIES WITH ZERO ORDER

本文研究了全平面上零级Dirichlet级数的增长性的问题.利用复级数理论，进一步讨论了在两种条件下Dirichlet级数的Dirichlet-Hadamard乘积的增长性，获得了零级Dirichlet级数及其Dirichlet-Hadamard乘积涉及对数级与对数型的几个关系定理，推广了孔荫莹等人的结果.
The main purpose of this paper is to investigate the growth of Dirichlet series with zero order which converges in the whole complex plane. By using the theory of complex series, we further study the growth of Dirichlet-Hadamard product of Dirichlet series with zero order under two different conditions. Some relationship theorems concerning logarithmic order and logarithmic type between Dirichlet series and its Dirichlet-Hadamard product are obtained, which are improvement and extension of previous results given by Kong