Dirichlet级数及其Dirichlet-Hadamard 乘积的增长性
The Growth of Dirichlet Series and Its Dirichlet-Hadamard Product

研究了一类Dirichlet级数关于$q${-}级的增长性问题, 并讨论了由两个Dirichlet级数组成的Dirichlet-Hadamard乘积的增长性, 获得了Dirichlet-Hadamard乘积与原级数在增长性方面的几个关系.
The purpose of this paper is to study the growth of Dirichlet series with finite $q$-order in the whole plane. The authors also investigate the growth of the Dirichlet-Hadamard product of Dirichlet series, and obtain some relationships about the growth between Dirichlet series and its Dirichlet-Hadamard product.