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New identities involving Bernoulli, Euler and Genocchi numbers

✍ Scribed by Su Hu, Daeyeoul Kim, Min-Soo Kim


Book ID
120735994
Publisher
Springer International Publishing AG
Year
2013
Tongue
English
Weight
229 KB
Volume
2013
Category
Article
ISSN
1687-1839

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πŸ“œ SIMILAR VOLUMES


Congruences involving Bernoulli and Eule
✍ Zhi-Hong Sun πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 263 KB

Let [x] be the integral part of x. Let p > 5 be a prime. In the paper we mainly determine ) in terms of Euler and Bernoulli numbers. For example, we have where E n is the nth Euler number and B n is the nth Bernoulli number.

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In this paper we prove some identities involving Bernoulli and Stirling numbers, relation for two or three consecutive Bernoulli numbers, and various representations of Bernoulli numbers.

Congruences Involving Bernoulli Numbers
✍ Takashi Agoh πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 100 KB

Let B m be the mth Bernoulli number in the even suffix notation and let q(a, n)=(a j(n) -1)/n be the Fermat-Euler quotient, where a, n \ 2 are relatively prime positive integers and j is the Euler totient function. The main purpose of this paper is to devise a certain congruence involving the Bernou