Multiplicatively dependent triples of Tribonacci numbers

• Autorzy: Carlos Alexis Ruiz Gómez , Florian Luca
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 11B39: Fibonacci and Lucas numbers and polynomials and generalizations
• 11J86: Linear forms in logarithms; Baker's method

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2015
• Tom: 171
• Numer: 4
• Strony: 327-353

Daty

wydano

2015

Twórcy

autor

Carlos Alexis Ruiz Gómez

• Departamento de Matemáticas, Universidad del Valle, Calle 13 No. 100-00, 25360 Cali, Colombia

autor

Florian Luca

• School of Mathematics, University of the Witwatersrand, Private Bag X3, Wits 2050, Johannesburg, South Africa

Identyfikatory

DOI

10.4064/aa171-4-3