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Evaluation of Sums of Convolved Powers Using Bernoulli Numbers

✍ Scribed by C. P. Neuman and D. I. Schonbach

Book ID
124934944
Publisher
Society for Industrial and Applied Mathematics
Year
1977
Tongue
English
Weight
469 KB
Volume
19
Category
Article
ISSN
0036-1445

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πŸ“œ SIMILAR VOLUMES

Sums of Products of Bernoulli Numbers
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,

The Frobenius problem, sums of powers of
The Frobenius problem, sums of powers of integers, and recurrences for the Bernoulli numbers
✍ Hans J.H. Tuenter πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 139 KB

In the Frobenius problem with two variables, one is given two positive integers a and b that are relative prime, and is concerned with the set of positive numbers NR that have no representation by the linear form ax + by in nonnegative integers x and y. We give a complete characterization of the set