Lyes Ait-Amrane, Hacène Belbachir, “Periods of Tribonacci sequences and elliptic curves”, Algebra Discrete Math., 2018, Volume 25, Issue 1,Pages <nobr>1

This article is cited in 1 paper

RESEARCH ARTICLE

Periods of Tribonacci sequences and elliptic curves

Lyes Ait-Amrane^ab, Hacène Belbachir^a

^a University of Sciences and Technology Houari Boumediene, Faculty of Mathematics, BP 32, El Alia, 16111, Bab Ezzouar, Algiers, Algeria
^b École Nationale Supèrieure d'Informatique, BP 68M Oued Smar, 16270, El Harrach, Algiers, Algeria

Abstract: We will study the periods of Tribonacci sequences associated to elliptic curves. This work is motivated by a paper of Coleman et al. who did it for classical Fibonacci sequences. We are convinced that similar results modulo a deeper work are accessible. Our aim is to explore the Tribonacci case.

Keywords: elliptic curves, periods of sequences, Tribonacci sequence, generalized Fibonacci sequences, prime numbers, congruences.

MSC: Primary 11B50; Secondary 11G05, 11A07, 11A41, 11B37, 11B39

Received: 28.10.2015
Revised: 25.02.2018

Language: English