Geodesic
Sums of products of Bernoulli numbers, including poly-Bernoulli numbers
Journal of integer sequences, Tome 13 (2010) no. 5
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.
Classification : 11B68, 11B73
Keywords: poly-Bernoulli numbers, sums of products 
@article{JIS_2010__13_5_a5,
     author = {Kamano,  Ken},
     title = {Sums of products of {Bernoulli} numbers, including {poly-Bernoulli} numbers},
     journal = {Journal of integer sequences},
     year = {2010},
     volume = {13},
     number = {5},
     zbl = {1238.11021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2010__13_5_a5/}
}
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Kamano,  Ken. Sums of products of Bernoulli numbers, including poly-Bernoulli numbers. Journal of integer sequences, Tome 13 (2010) no. 5. http://geodesic.mathdoc.fr/item/JIS_2010__13_5_a5/