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Sums of products of Apostol–Bernoulli numbers

✍ Scribed by Min-Soo Kim; Su Hu

Book ID
113078619
Publisher
Springer US
Year
2012
Tongue
English
Weight
402 KB
Volume
28
Category
Article
ISSN
1382-4090

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📜 SIMILAR VOLUMES

Sums of Products of Bernoulli Numbers
Sums of Products of Bernoulli Numbers
✍ Karl Dilcher 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 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
Sums of Products of Twoq-Bernoulli Numbers
✍ Junya Satoh 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 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

A note on sums of products of Bernoulli
A note on sums of products of Bernoulli numbers
✍ Min-Soo Kim 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 221 KB

In this work we obtain a new approach to closed expressions for sums of products of Bernoulli numbers by using the relation of values at non-positive integers of the important representation of the multiple Hurwitz zeta function in terms of the Hurwitz zeta function.

Computation of Euler’s type sums of the
Computation of Euler’s type sums of the products of Bernoulli numbers
✍ Aleksandar Petojević; H.M. Srivastava 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 386 KB

In this work, the authors present several formulas which compute the following Euler's type and Dilcher's type sums of the products of Bernoulli numbers B n : respectively, where denotes, as usual, the multinomial coefficient.