Periods of Tribonacci sequences and elliptic curves

Lyes AIt-Amrane, Hacène Belbachir


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.


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

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