Multiplicatively dependent triples of Tribonacci numbers

DOI10.4064/aa171-4-3zbMath1350.11020OpenAlexW2403863087MaRDI QIDQ3460232

Florian Luca, Carlos Alexis Gómez Ruiz

Publication date: 6 January 2016

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa171-4-3

zbMATH Keywords

multiplicatively independent integerslinear forms in logarithms of algebraic numbersTribonacci numbers

Mathematics Subject Classification ID

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

Related Items (3)

Multiplicative Diophantine equations with factors from different Lucas sequences ⋮ Multiplicative dependent pairs in the sequence of Padovan numbers ⋮ Multiplicative dependence between Padovan and Perrin numbers

Cites Work

• The zero-multiplicity of third-order linear recurrences associated to the Tribonacci sequence
• An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
• A simplified Binet formula for k-generalized Fibonacci numbers
• Number Theory
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