| Applications of an Explicit Formula for the Generalized Euler Numbers |
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| 作者姓名： | Guo Dong LIU Wen Peng ZHANG |
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| 作者单位： | [1]Department of Mathematics, Huizhou University, Huizhou 516015, P. R. China [2]Department of Mathematics, Northwest University, Xi＇an 710069, P. R. China |
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| 基金项目： | This work is partly supported by the Guangdong Provincial Natural Science Foundation （No.05005928） and the National Natural Science Foundation （No.10671155） of P.R.China |
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| 摘 要： | The authors establish an explicit formula for the generalized Euler NumbersE2n^（x）, and obtain some identities and congruences involving the higher＇order Euler numbers, Stirling numbers, the central factorial numbers and the values of the Riemann zeta-function.
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| 关 键 词： | 数论 广义欧拉数 斯特灵数 同余 |
| 文章编号： | 10.1007/s10114-007-1013-x |
| 收稿时间： | 2006-04-27 |
| 修稿时间： | 2006-11-29 |
Applications of an explicit formula for the generalized Euler Numbers |
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| Guo Dong LIU Wen Peng ZHANG.Applications of an Explicit Formula for the Generalized Euler Numbers[J].Acta Mathematica Sinica,2008,24(2):343-352. |
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| Authors: | Guo Dong Liu Wen Peng Zhang |
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| Institution: | (1) Department of Mathematics, Huizhou University, Huizhou, 516015, P. R. China;(2) Department of Mathematics, Northwest University, Xi’an, 710069, P. R. China |
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| Abstract: | The authors establish an explicit formula for the generalized Euler Numbers E
2n
(x), and obtain some identities and congruences involving the higher-order Euler numbers, Stirling numbers, the central factorial
numbers and the values of the Riemann zeta-function.
This work is partly supported by the Guangdong Provincial Natural Science Foundation (No. 05005928) and the National Natural
Science Foundation (No.10671155) of P. R. China |
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| Keywords: | the generalized Euler numbers Stirling numbers the central factorial numbers Dirichlet L-function congruences |
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