关于Riemann Zeta函数的几个级数的渐近展式  

Asymptotic Representations of Several Series Associated with the Riemann Zeta Function

作　　者：张南岳[1] 

机构地区：[1]中国人民大学

出　　处：《纯粹数学与应用数学》1992年第2期34-39,共6页Pure and Applied Mathematics

摘　　要：在[1]、[2]中分别得到下面两个渐近展式及其应用:■其中q是任意自然数,ζ(s)=sum from n=1 to ∞(1/n~?)(Re(s)】1)是Riemann Zeta函数在这篇短文中,我们得到另外一些渐近展式。定理当t→+∞时,下列渐近展式成立:In this short paper, using Maclaurin Summation formula. we obtain the followingasymptotic representations of several series associated with the Riemann Zeta fuction:where γ is Euler constant and C is a posititive constant.

关 键 词：ξ函数 黎曼ξ函数 级数 渐近展开 

分 类 号：O156.4[理学—数学]