On Euler numbers, polynomials and related p-adic integrals

被引：23

作者：

Kim, Min-Soo ^{[1
]}

机构：

[1] Natl Inst Math Sci, Taejon 305340, South Korea

来源：

JOURNAL OF NUMBER THEORY | 2009年 / 129卷 / 09期

关键词：

p-Adic integrals; Euler numbers; Euler polynomials; MODULO POWERS; Q-ANALOG; EXTENSION; BERNOULLI; FORMULAS; Z(P);

D O I：

10.1016/j.jnt.2008.11.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note we give a new proof of Witt's formula for Euler numbers, which are related to some known or new identities involving the Euler numbers. We also obtain a brief proof of a classical result on Euler numbers modulo of two due to M.A. Stern using the approach of p-adic integration, which was recently proved by G. Liu, and Z.-W. Sun. Finally some explicit formulas for Genocchi numbers are proved and applications are given. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：2166 / 2179

页数：14

共 26 条

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