Fibonacci or Lucas numbers which are products of two repdigits in base \(b\)

DOI10.1007/s00574-021-00243-yzbMath1484.11063OpenAlexW3127471075MaRDI QIDQ2052817

Fatih Erduvan, Refik Keskin, Zafer Ṣiar

Publication date: 29 November 2021

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-021-00243-y

zbMATH Keywords

linear forms in logarithmsDiophantine equationsFibonacci numberLucas numberrepdigit

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Linear forms in logarithms; Baker's method (11J86)

Related Items (2)

Balancing numbers which are products of three repdigits in base \(b\) ⋮ Fibonacci and Lucas numbers as products of three repdigits in base \(g\)

Cites Work

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• Linear forms in logarithms and applications
• Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers
• An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
• Fibonacci Numbers which are Products of two Pell Numbers
• On the $x-$coordinates of Pell equations which are sums of two Padovan numbers
• Powers of two as sums of two k-Fibonacci numbers
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²

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