Multiplicatively dependent triples of Tribonacci numbers
Acta Arithmetica, Tome 171 (2015) no. 4, pp. 327-353.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We consider the Tribonacci sequence ${\bf T}:=\{T_n\}_{n\ge 0}$ given by $T_0 = 0$, $T_1=T_2=1$ and $T_{n+3}=T_{n+2}+T_{n+1}+T_n$ for all $n\ge 0$, and we find all triples of Tribonacci numbers which are multiplicatively dependent.
DOI : 10.4064/aa171-4-3
Keywords: consider tribonacci sequence given triples tribonacci numbers which multiplicatively dependent

Carlos Alexis Ruiz Gómez 1 ; Florian Luca 2

1 Departamento de Matemáticas Universidad del Valle Calle 13 No. 100-00 25360 Cali, Colombia
2 School of Mathematics University of the Witwatersrand Private Bag X3, Wits 2050 Johannesburg, South Africa
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Carlos Alexis Ruiz Gómez; Florian Luca. Multiplicatively dependent triples of Tribonacci numbers. Acta Arithmetica, Tome 171 (2015) no. 4, pp. 327-353. doi : 10.4064/aa171-4-3. http://geodesic.mathdoc.fr/articles/10.4064/aa171-4-3/

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