Abstract
In this paper, we investigate certain arithmetic properties of complex Fibonacci numbers and Fibonacci quaternions. More specifically, we look at the divisibility properties of complex Fibonacci numbers and Fibonacci quaternions. Our results make use of some well-known Fibonacci identities. Since quaternions are non-commutative algebra, extra care has been taken to investigate the various divisibility properties of the Fibonacci quaternions.
| Original language | English |
|---|---|
| Pages (from-to) | 115-129 |
| Number of pages | 15 |
| Journal | Journal of Algebra and Applied Mathematics |
| Volume | 19 |
| Issue number | 2 |
| Publication status | Published - Sept 2021 |
Keywords
- Complex Fibonacci number
- Divisibility
- Fibonacci quaternion
ASJC Scopus subject areas
- Algebra and Number Theory
- Discrete Mathematics and Combinatorics
- Computational Mathematics
- Applied Mathematics