On higher order generalized Bernoulli numbers

被引：3

作者：

Jang, YH ^{[1
]}

Kim, DS ^{[1
]}

机构：

[1] Sogang Univ, Dept Math, Seoul 121742, South Korea

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2003年 / 137卷 / 2-3期

关键词：

higher order generalized Bernoulli numbers;

D O I：

10.1016/S0096-3003(02)00138-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we define higher order generalized Bernoulli numbers in order to give the values of a series attached to Dirichlet character at non-positive integers, and investigate the arithmetic properties of them. In particular, we obtain Euler summation formula involving higher order generalized Bernoulli numbers. Also, in the p-adic cyclotomic field, we construct Witt's type formula involving higher order generalized Bernoulli numbers. (C) 2002 Elsevier Science Inc. All rights reserved.

引用

页码：387 / 398

页数：12