New identities involving Bernoulli, Euler and Genocchi numbers
β 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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π SIMILAR VOLUMES
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.
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.
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