Sums of products of two q-Bernoulli numbers

被引：21

作者：

Satoh, J ^{[1
]}

机构：

[1] Nagoya Univ, Grad Sch Human Informat, Chikusa Ku, Nagoya, Aichi 4648601, Japan

来源：

JOURNAL OF NUMBER THEORY | 1999年 / 74卷 / 02期

关键词：

D O I：

10.1006/jnth.1998.2331

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend a well-known formula for sums of products of two Bernoulli numbers to that of Carlitz's q-Bernoulli numbers. Recently Ditcher (J. Number Theory 60 (1996), 23-41) generalized the formula For sums of products of any number of Bernoulli numbers, but it is not easy to prove the generalized formula for q-Bernoulli numbers. In this paper we give a q-formula in the case of two q-Bernoulli numbers. (C) 1999 Academic Press.

引用

页码：173 / 180

页数：8

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