Multiplicatively dependent triples of Tribonacci numbers
Carlos Alexis Ruiz Gómez; Florian Luca
Acta Arithmetica (2015)
- Volume: 171, Issue: 4, page 327-353
- ISSN: 0065-1036
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topCarlos Alexis Ruiz Gómez, and Florian Luca. "Multiplicatively dependent triples of Tribonacci numbers." Acta Arithmetica 171.4 (2015): 327-353. <http://eudml.org/doc/279239>.
@article{CarlosAlexisRuizGómez2015,
abstract = {We consider the Tribonacci sequence $T:= \{T_n\}_\{n≥0\}$ 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.},
author = {Carlos Alexis Ruiz Gómez, Florian Luca},
journal = {Acta Arithmetica},
keywords = {multiplicatively independent integers; tribonacci numbers; linear forms in logarithms of algebraic numbers},
language = {eng},
number = {4},
pages = {327-353},
title = {Multiplicatively dependent triples of Tribonacci numbers},
url = {http://eudml.org/doc/279239},
volume = {171},
year = {2015},
}
TY - JOUR
AU - Carlos Alexis Ruiz Gómez
AU - Florian Luca
TI - Multiplicatively dependent triples of Tribonacci numbers
JO - Acta Arithmetica
PY - 2015
VL - 171
IS - 4
SP - 327
EP - 353
AB - We consider the Tribonacci sequence $T:= {T_n}_{n≥0}$ 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.
LA - eng
KW - multiplicatively independent integers; tribonacci numbers; linear forms in logarithms of algebraic numbers
UR - http://eudml.org/doc/279239
ER -
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