Congruences Involving Combinations of the Bernoulli and Fibonacci Numbers
β Scribed by Richard P. Kelisky
- Book ID
- 123671097
- Publisher
- National Academy of Sciences
- Year
- 1957
- Tongue
- English
- Weight
- 148 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0027-8424
- DOI
- 10.2307/89713
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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.
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
In this paper, we find simple 2-adic congruences mod 2 [nΓ2]+1 for the No rlund numbers B (n) n and for the Bernoulli numbers of the second kind b n . These congruences improve F. T. Howard's mod 8 congruences (in ``Applications of Fibonacci Numbers, '' Vol. 5, pp. 355 366, Kluwer Academic, Dordrech