ON LACUNARY RECURRENCES WITH GAPS OF LENGTH FOUR AND EIGHT FOR THE BERNOULLI NUMBERS

被引：5

作者：

Merca, Mircea ^{[1
]}

机构：

[1] Acad Romanian Scientists, Splaiul Independentei 54, Bucharest 050094, Romania

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2019年 / 56卷 / 02期

关键词：

Bernoulli numbers; recurrences;

D O I：

10.4134/BKMS.b180347

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The problem of finding fast computing methods for Bernoulli numbers has a long and interesting history. In this paper, the author provides new proofs for two lacunary recurrence relations with gaps of length four and eight for the Bernoulli numbers. These proofs invoked the fact that the nth powers of pi(2), pi(4) and pi(8)( )can be expressed in terms of the nth elementary symmetric functions.

引用

页码：491 / 499

页数：9

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