半平面上有限级Dirichlet级数的逼近

The Approximation Problem of Dirichlet Series of Finite Order in the Half Plane

主要讨论用Dirichlet多项式去逼近半平面上有限级的Dirichlet级数时产生的误差与原Dirichlet级数的增长级,精确级与型函数之间的联系,得到一些有趣的结果.

In this paper,the error in approximating Dirichlet series of finite order in the half plane by Dirichlet polynomials is studied and some relation between the error and the order,the proximate order and the type function of Dirichlet series is obtained.