1Departamento de Matemáticas Universidad del Valle Calle 13 No. 100-00 25360 Cali, Colombia 2School of Mathematics University of the Witwatersrand Private Bag X3, Wits 2050 Johannesburg, South Africa
Acta Arithmetica, Tome 171 (2015) no. 4, pp. 327-353
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.
Keywords:
consider tribonacci sequence given triples tribonacci numbers which multiplicatively dependent
Affiliations des auteurs :
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
@article{10_4064_aa171_4_3,
author = {Carlos Alexis Ruiz G\'omez and Florian Luca},
title = {Multiplicatively dependent triples of {Tribonacci} numbers},
journal = {Acta Arithmetica},
pages = {327--353},
year = {2015},
volume = {171},
number = {4},
doi = {10.4064/aa171-4-3},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/aa171-4-3/}
}
TY - JOUR
AU - Carlos Alexis Ruiz Gómez
AU - Florian Luca
TI - Multiplicatively dependent triples of Tribonacci numbers
JO - Acta Arithmetica
PY - 2015
SP - 327
EP - 353
VL - 171
IS - 4
UR - http://geodesic.mathdoc.fr/articles/10.4064/aa171-4-3/
DO - 10.4064/aa171-4-3
LA - en
ID - 10_4064_aa171_4_3
ER -