On the intersection of \(k\)-Lucas sequences and some binary sequences

DOI10.1007/s10998-021-00387-wzbMath1499.11077OpenAlexW3169719618MaRDI QIDQ2077902

Salah Eddine Rihane, Alain S. Togbé

Publication date: 22 February 2022

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-021-00387-w

zbMATH Keywords

reduction methodlinear form in logarithms\(k\)-generalized Lucas numbers

Mathematics Subject Classification ID

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

Related Items (2)

On \(k\)-Fibonacci and \(k\)-Lucas numbers written as a product of two Pell numbers ⋮ \(k\)-Fibonacci and \(k\)-Lucas numbers as product of two repdigits

Cites Work

• Perfect powers in second order linear recurrences
• On perfect powers that are sums of two Fibonacci numbers
• Repdigits in \(k\)-Lucas sequences
• An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
• On the Intersections of Fibonacci, Pell, and Lucas Numbers
• Generalized Fibonacci Numbers and Associated Matrices
• Coincidences in generalized Lucas sequences
• Powers in products of terms of Pell's and Pell–Lucas Sequences
• Powers of two as sums of two k-Fibonacci numbers
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²
• On Generalized Fibonacci Numbers
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