Repdigits as sums of two generalized Lucas numbers

DOI10.3906/mat-2011-59zbMath1501.11029OpenAlexW3165025148MaRDI QIDQ5101378

Jhon J. Bravo, Sai Gopal Rayaguru

Publication date: 30 August 2022

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-2011-59

zbMATH Keywords

reduction methodlinear form in logarithmsrepdigitgeneralized Lucas number

Mathematics Subject Classification ID

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

Cites Work

• Repdigits in \(k\)-Lucas sequences
• Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers
• Repdigits as sums of two \(k\)-Fibonacci numbers
• An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
• On a conjecture about repdigits in k-generalized Fibonacci sequences
• Generalized Fibonacci Numbers and Associated Matrices
• Repdigits as products of consecutive balancing or Lucas-balancing numbers
• Powers of two as sums of two k-Fibonacci numbers
• On Generalized Fibonacci Numbers
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