k−Fibonacci numbers close to a power of 2

DOI10.2989/16073606.2020.1818645zbMath1485.11024OpenAlexW3094129010MaRDI QIDQ5023621

Carlos Alexis Gómez Ruiz, Jhon J. Bravo, Jose L. Herrera

Publication date: 24 January 2022

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2020.1818645

zbMATH Keywords

reduction methodlinear form in logarithms\(k\)-Fibonacci number

Mathematics Subject Classification ID

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

Related Items (3)

Sums of Fibonacci numbers close to a power of 2 ⋮ The \(k\)-generalized Lucas numbers close to a power of 2 ⋮ Unnamed Item

Cites Work

• On the largest prime factor of the ratio of two generalized Fibonacci numbers
• An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
• ON THE LARGEST PRIME FACTOR OF THE k-FIBONACCI NUMBERS
• On a conjecture about repdigits in k-generalized Fibonacci sequences
• Generalized Fibonacci Numbers and Associated Matrices
• Powers of two as sums of two k-Fibonacci numbers
• A simplified Binet formula for k-generalized Fibonacci numbers
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²
• On Generalized Fibonacci Numbers
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