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RESEARCH ARTICLE Periods of Tribonacci sequences and elliptic curves Lyes Ait-Amraneab, Hacène Belbachira 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.  Full text:
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MSC: Primary 11B50; Secondary 11G05, 11A07, 11A41, 11B37, 11B39 Received: 28.10.2015 Revised: 25.02.2018 Language: Citation: Lyes Ait-Amrane, Hacène Belbachir, “Periods of Tribonacci sequences and elliptic curves”, Algebra Discrete Math., 25:1 (2018), 
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