具有实指数的狄里克雷级数收敛性研究

Study Of Convergence Of Dirichlet Series With Real Exponent

本文利用阿贝尔变换公式推导出狄里克雷级数收敛性的有关命题 ,并在此基础上研究了级数收敛与绝对收敛的关系 ,进而导出当收敛横坐标与绝对收敛横坐标重合时 ,求收敛横坐标的简单方法。

Using Abel transformation formula, this paper educes concerned proposition about Dirichlet series .On this base, studies the relation between absolute convergence and series convergence, then educes the simple method to find the abscissa of convergence when the abscissa of convergence and the abscissa of absolute convergence superpose .