二重Dirichlet级数的对数级与对数型

The Logarithmic Order and Logarithmic Type of Double Dirichlet Series

讨论了两类由二重Dirichlet级数所表示的整函数族,在此两族函数中分别给出二重Dirichlet级数的对数级与对数型定义,并得到关于二重Dirichlet级数的对数级与对数型的等价定理.

In this paper, we investigate two classes L and LT of the family of entire functions defined by Dirichlet series with two complex variables. We give the definitions of logarithmic order and logarithmic type of Double Dirichlet series, and obtain some relation theorems about logarithmic order, logarithmic type and maximum Modulus of Double Dirichlet series.