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| 三类与Riemann Zeta函数有关的级数的求和公式 | |
| 引用本文： | 党四善,李国兴. 三类与Riemann Zeta函数有关的级数的求和公式[J]. 数学研究及应用, 2000, 20(3): 396-400 |
| 作者姓名： | 党四善 李国兴 |
| 作者单位： | 西北轻工业学院,陕西,咸阳712081 |
| 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∑∞ｋ＝２ｋ＾ｍξ（２ｋ）及∑∞ｋ＝１（２ｋ＋１）＾ｍξ（２ｋ＋１）其中ｍ≥１，ξ（ｘ）＝ξ（ｘ）－１）的求和公式。这些公式表述简洁并有鲜明的规律性。 |
| 关 键 词： | RiemannZeta函数 Bernoulli数 求和公式 级数 |
| 收稿时间： | 1997-07-02 |
| 修稿时间： | 1999-12-13 |
Summation Formulas of Three Types of Series Concerning Riemann Zeta Function |
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| DANG Si-shan and LI Guo-xing. Summation Formulas of Three Types of Series Concerning Riemann Zeta Function[J]. Journal of Mathematical Research with Applications, 2000, 20(3): 396-400 | |
| Authors: | DANG Si-shan and LI Guo-xing |
| Affiliation: | Northwest Institute of Light Industry, Xianyang 712081, China;Northwest Institute of Light Industry, Xianyang 712081, China |
| Abstract: | 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. |
| Keywords: | Riemman Zeta function Stirling number of seco nd kind Bernoulli number Summation formula. |
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