Fibonacci periodicity and fibonacci frequency
- Title
- Fibonacci periodicity and fibonacci frequency
- Author
- 김희식
- Issue Date
- 2019-10
- Publisher
- Eudoxus Press
- Citation
- Journal of Computational Analysis and Applications, v. 27, no. 5, Page. 874-881
- Abstract
- In this paper we introduce the notion of Fibonacci periodicity modulo n, denoting this period by
the function b F(n). We note that b F(n) is an integral multiple of a fundamental frequency b f(n), where the ratio
b F(n)= b f(n) is a power of 2 for a collection of observed values of n. It is demonstrated that if a; b are natural
numbers with gcd(a; b) = 1, then b F(n) = lcmf b F(a); b F(b)g and thus that b F is a non-trivial example of a function
which we refer to as radical. From observations it also seems clear that
b F(ps+1)
b F(ps)
= p for primes p.
- URI
- http://www.eudoxuspress.com/images/JOCAAA-VOL-27-2019-ISSUE-5.pdfhttps://repository.hanyang.ac.kr/handle/20.500.11754/154173
- ISSN
- 1521-1398; 1572-9206
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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