Alexandre Laugier and Manjil P. Saikia
Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132
Volume 20, 2014, Number 4, Pages 58—68
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Authors and affiliations
Alexandre Laugier
Lycée professionnel Tristan Corbière
16 rue de Kervéguen – BP 17149 – 29671 Morlaix Cedex, France
Manjil P. Saikia
The Abdus Salam International Centre for Theoretical Physics
Strada Costiera-11, Miramare, I-34151, Trieste, Italy
Abstract
In this paper we propose a definition of a recurrence relation homomorphism and illustrate our definition with a few examples. We then define the period of a k-th order of linear recurrence relation and deduce certain preliminary results associated with them.
Keywords
- k-th order of recurrence relations
- Recurrence relation homomorphisms
- Strong divisibility sequences
- Periodic sequences
AMS Classification
- 11B37
- 11B50
References
- Apostol, T. M., An Introduction to the Analytic Theory of Numbers, Springer–Verlag, 1975.
- Chartrand, G., P. Zhang, Discrete Mathematics, Waveland Press, 2011.
- Gandhi, K. R., Divisibility properties of Fibonacci numbers, South Asian J. Math., Vol. 1, 2011, No. 3, 140–144.
- Laugier, A., M. P. Saikia, Some properties of Fibonacci numbers, submitted for publication.
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Cite this paper
Laugier, A., & Saikia, M. P. (2014). Some results about linear recurrence relation homomorphisms. Notes on Number Theory and Discrete Mathematics, 20(4), 58-68.