零(R)级解析Dirichlet级数

The zero order(R) of analytic Dirichlet series

在减弱已有结果的指数条件下,研究右半平面内解析Dirichlet级数准确零(R)级的增长性,在准确零(R)级Dirichlet级数的增长性与其系数之间的关系的基础上应用新的证明方法,简化了原证明,得到同样结果.

The growth of the proximate zero order （R） of Dirichlet series in the right-half plane is studied. The same result and the new method of proof are obtain and the original proof is simplified under the weaker index condition based on the relation between the growth on this function and the coeffieients of the proximate zero order （R） of Diriehlet series.