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

DOI10.1007/s40590-024-00593-9OpenAlexW4391913927MaRDI QIDQ6151701

Salah Eddine Rihane

Publication date: 11 March 2024

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-024-00593-9

zbMATH Keywords

reduction methodPell numberslinear form in logarithms\(k\)-Fibonacci numbers\(k\)-Lucas numbers

Mathematics Subject Classification ID

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

Cites Work

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• On the intersection of \(k\)-Lucas sequences and some binary sequences
• Fibonacci numbers which are products of three Pell numbers and Pell numbers which are products of three 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
• Fibonacci Numbers which are Products of two Pell Numbers
• A Diophantine equation in $k$-Fibonacci numbers and repdigits
• Perfect Pell Powers
• Powers in products of terms of Pell's and Pell–Lucas Sequences
• 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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