Periods of Tribonacci sequences and elliptic curves

• Date: 2018
• Main Authors: AIt-Amrane, Lyes, Belbachir, Hacène
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: elliptic curves; periods of sequences; Tribonacci sequence; generalized Fibonacci sequences; prime numbers; congruences; 11B50; 11G05; 11A07; 11A41; 11B37; 11B39
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/90
• Journal Title: Algebra and Discrete Mathematics

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.