Multiplicatively dependent triples of Tribonacci numbers

Carlos Alexis Ruiz Gómez; Florian Luca

Acta Arithmetica, Tome 168 (2015), p. 327-353 / Harvested from The Polish Digital Mathematics Library

Résumé

We consider the Tribonacci sequence $T : = {T_{n}}_{n \geq 0}$ given by T₀ = 0, T₁ = T₂ = 1 and $T_{n + 3} = T_{n + 2} + T_{n + 1} + T_{n}$ for all n ≥ 0, and we find all triples of Tribonacci numbers which are multiplicatively dependent.

Publié le : 2015-01-01

Zbl 06526952

EUDML-ID : urn:eudml:doc:279239

@article{bwmeta1.element.bwnjournal-article-doi-10_4064-aa171-4-3,
     author = {Carlos Alexis Ruiz G\'omez and Florian Luca},
     title = {Multiplicatively dependent triples of Tribonacci numbers},
     journal = {Acta Arithmetica},
     volume = {168},
     year = {2015},
     pages = {327-353},
     zbl = {06526952},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa171-4-3}
}

Carlos Alexis Ruiz Gómez; Florian Luca. Multiplicatively dependent triples of Tribonacci numbers. Acta Arithmetica, Tome 168 (2015) pp. 327-353. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa171-4-3/