三类与Riemann Zeta函数有关的级数的求和公式

Summation Formulas of Three Types of Series Concerning Riemann Zeta Function

中文关键词:  Riemann Zeta函数  第二类Stirling数  Bernoulli数  求和公式.

英文关键词:Riemman Zeta function  Stirling number of seco nd kind  Bernoulli number  Summation formula.

中文摘要:

      本文采用组合数学的方法，利用第二类Stirling数和Bernoulli数给出级数(?)的求和公式.这些公式表述简洁并有鲜明的规律性.

英文摘要:

      In this paper, by means of combinatorial mathematics and using Stirling number of second kind and Bernoulli number summation formulas of series (?)are given. These formulas are succinct expressed and they have clear-cut regularity.