二重Dirichlet级数的增长性

The growth of double Dirichlet series

采用Knopp-Kojima的方法,在不限制二重整Dirichlet级数的三对收敛坐标都相等的条件下,研究了二重整Dirichlet级数在二维复平面上增长性与系数的关系,得到了θ级的一个充要条件,并给出了严格证明.

Under the condition that there is not restrict that the three pairs of convergence coordinates of double entire Dirichlet series are equal,it is studied the relationship between the growth of double entire Dirichlet Series and coefficient in two-dimensional after plane by Knopp-Kojima method,then,a necessary and sufficient condition of θ order is got and the strict proof is given.