Applications of an explicit formula for the generalized Euler Numbers |
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| Authors: | Guo Dong Liu Wen Peng Zhang |
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| Affiliation: | (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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