Periods of Tribonacci sequences and elliptic curves

• Published in: Algebra and Discrete Mathematics
• Date: 2018
• Main Authors: AIt-Amrane, L., Belbachir, H.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188343
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Periods of Tribonacci sequences and elliptic curves / L. AIt-Amrane, H. Belbachir // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 1. — С. 1-17. — Бібліогр.: 16 назв. — англ.

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.