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On Companion sequences associated with Leonardo quaternions: Applications over finite fields
- Publication Year :
- 2024
-
Abstract
- In this paper, we introduce a new class of quaternions called Lucas-Leonardo p-quaternions and derive several fundamental properties of these numbers. Furthermore, we investigate some applications related to companion sequences associated with Leonardo quaternions. In particular, we determine Lucas-Leonardo quaternions and Francois quaternions, which are zero divisors and invertible elements in the quaternion algebra over certain finite fields.
- Subjects :
- Mathematics - Combinatorics
11B37, 11B39, 11R52, 16G30
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2403.01592
- Document Type :
- Working Paper