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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## Details

### 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.

## Related papers

## Cite this paper

APALaugier, A., & Saikia, M. P. (2014). Some results about linear recurrence relation homomorphisms. Notes on Number Theory and Discrete Mathematics, 20(4), 58-68.

ChicagoLaugier, Alexandre, and Manjil P. Saikia. “Some Results about Linear Recurrence Relation Homomorphisms.” Notes on Number Theory and Discrete Mathematics 20, no. 4 (2014): 58-68.

MLALaugier, Alexandre, and Manjil P. Saikia. “Some Results about Linear Recurrence Relation Homomorphisms.” Notes on Number Theory and Discrete Mathematics 20.4 (2014): 58-68. Print.