半平面上有限级Dirichlet级数的逼近问题

The Approximation Problem of Dirichlet Series of Finite Order In The Half Plane

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级数的增长级及型之间的联系,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 and type of Dirichlet series is obtained.