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Sums of products of Cauchy numbers

✍ Scribed by Feng-Zhen Zhao


Book ID
108114097
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
611 KB
Volume
309
Category
Article
ISSN
0012-365X

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πŸ“œ SIMILAR VOLUMES


Sums of Products of Bernoulli Numbers
✍ Karl Dilcher πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 573 KB

Closed expressions are obtained for sums of products of Bernoulli numbers of the form ( 2n 2j 1 , ..., 2jN ) B 2j1 } } } B 2jN , where the summation is extended over all nonnegative integers j 1 , ..., j N with j 1 + j 2 + } } } + j N =n. Corresponding results are derived for Bernoulli polynomials,

Sums of Products of Twoq-Bernoulli Numbe
✍ Junya Satoh πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 94 KB

We extend a well-known formula for sums of products of two Bernoulli numbers to that of Carlitz's q-Bernoulli numbers. Recently Dilcher (J. Number Theory 60 (1996), 23 41) generalized the formula for sums of products of any number of Bernoulli numbers, but it is not easy to prove the generalized for