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Type: Article
A note on the denominators of Bernoulli numbers
Abstract:
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.
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.
Keywords: Bernoulli Numbers; Stirling Numbers
Journal: Proceedings of the Japan Academy Series A-Mathematical Sciences
ISSN: 0386-2194
Year: 2014
Volume: 90
Number: 5
Pages: 71-72
Created: 2014-07-03 13:01:04
Modified: 2014-07-03 13:01:22
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