摘要
研究了一类包含函数S(n,k)的Dirichlet级数的计算问题.用高斯取整函数的性质及初等方法,对某些特殊的整数k>1,给出了该级数的几个具体的计算公式.这些结果在离散和连续之间架起了一个桥梁,将一类离散问题和解析函数紧密联系起来.
The calculating problem of one kind Dirichlet series involving the function S（n,k） is studied.By using the properties of Gauss floor function and the elementary method,some exactly calculating formulas for the series with some special positive integer k are given.The series becomes a bridge between the discrete and the continuous,and gives a relation between discrete problems and analytic functions.
出处
《陕西师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2010年第5期14-17,共4页
Journal of Shaanxi Normal University：Natural Science Edition
基金
国家自然科学基金资助项目(60472068)
