A note on the denominators of Bernoulli numbers

被引：2

作者：

Komatsu, Takao ^{[1
]}

Luca, Florian ^{[2
,3
]}

Pita Ruiz, Claudio De J., V ^{[4
]}

机构：

[1] Hirosaki Univ, Grad Sch Sci & Technol, Hirosaki, Aomori 0368561, Japan

[2] UNAM Juriquilla, Math Inst, Santiago De Queretaro 76230, Mexico

[3] Univ Witwatersrand, Sch Math, ZA-2050 Johannesburg, South Africa

[4] Univ Panamer, Mexico City, DF, Mexico

来源：

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 2014年 / 90卷 / 05期

关键词：

Bernoulli numbers; Stirling numbers;

D O I：

10.3792/pjaa.90.71

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that gcd(2!S(2n + 1, 2),.., (2n + 1)!S(2n + 1, 2n + 1)) = denominator of B-2n, where S(n, k) is the Stirling number of the second kind and B-n is the Bernoulli number.

引用

页码：71 / 72

页数：2