Open Access
January 2015 A simple proof of convolution identities of Bernoulli numbers
Go Yamashita
Proc. Japan Acad. Ser. A Math. Sci. 91(1): 5-6 (January 2015). DOI: 10.3792/pjaa.91.5

Abstract

T. Agoh and K. Dilcher proved convolution identities of Bernoulli numbers in 2007. Their proof was complicated calculations in more than 10 pages, which were based on the relation between the Stirling numbers of second kind and the Bernoulli numbers. In this short paper, we give a simple proof of it. Essentially, the proof is based on just one formula on a new kind of generating function.

Citation

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Go Yamashita. "A simple proof of convolution identities of Bernoulli numbers." Proc. Japan Acad. Ser. A Math. Sci. 91 (1) 5 - 6, January 2015. https://doi.org/10.3792/pjaa.91.5

Information

Published: January 2015
First available in Project Euclid: 5 January 2015

zbMATH: 06441200
MathSciNet: MR3296591
Digital Object Identifier: 10.3792/pjaa.91.5

Subjects:
Primary: 11B68
Secondary: 05A15 , 05A19

Keywords: Bernoulli numbers , convolution identity , generating function

Rights: Copyright © 2015 The Japan Academy

Vol.91 • No. 1 • January 2015
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