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Zbl 1238.11021
Kamano, Ken
Sums of products of Bernoulli numbers, including poly-Bernoulli numbers.
(English)
[J] J. Integer Seq. 13, No. 5, Article ID 10.5.2, 10 p., electronic only (2010). ISSN 1530-7638/e

Summary: We investigate sums of products of Bernoulli numbers including poly-Bernoulli numbers. A relation among these sums and explicit expressions of sums of two and three products are given. As a corollary, we obtain fractional parts of sums of two and three products for negative indices.
MSC 2000:
*11B68 Bernoulli numbers, etc.
11B73 Bell and Stirling numbers

Keywords: poly-Bernoulli numbers; sums of products

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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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