A note on the denominators of Bernoulli numbers

作者：Komatsu Takao^*; Luca Florian; Pita Ruiz Claudio De J V

来源：Proceedings of the Japan Academy Series A-Mathematical Sciences, 2014, 90(5): 71-72.

DOI：10.3792/pjaa.90.71

• Bernoulli numbers
• Stirling numbers

We show that %26lt;br%26gt;gcd(2!S(2n + 1, 2),.., (2n + 1)!S(2n + 1, 2n + 1)) = denominator of B-2n, %26lt;br%26gt;where S(n, k) is the Stirling number of the second kind and B-n is the Bernoulli number.

• 出版日期2014-5