A note on sums of products of Bernoulli numbers

被引：18

作者：

Kim, Min-Soo ^{[1
]}

机构：

[1] Korea Adv Inst Sci & Technol, ASARC, Dept Math, Taejon 305701, South Korea

来源：

APPLIED MATHEMATICS LETTERS | 2011年 / 24卷 / 01期

关键词：

Bernoulli numbers; Hurwitz zeta functions; Multiple Hurwitz zeta functions; Sums of products; Multinomial coefficients; ZETA-FUNCTION; POLYNOMIALS;

D O I：

10.1016/j.aml.2010.08.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we obtain a new approach to closed expressions for sums of products of Bernoulli numbers by using the relation of values at non-positive integers of the important representation of the multiple Hurwitz zeta function in terms of the Hurwitz zeta function. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：55 / 61

页数：7

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