Applications of an Explicit Formula for the Generalized Euler Numbers

作     者：Guo Dong LIU Wen Peng ZHANG 

作者机构：Department of Mathematics Huizhou University Huizhou 516015 P. R. China Department of Mathematics Northwest University Xi'an 710069 P. R. China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2008年第24卷第2期

页      面：343-352页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：the Guangdong Provincial Natural Science Foundation (No.05005928) the National Natural Science Foundation (No.10671155) of P.R.China 

主　　题：the generalized Euler numbers Stirling numbers the central factorial numbers Dirichlet L-function congruences 

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.