Repdigits as products of two Fibonacci or Lucas numbers

DOI10.1007/s12044-020-0554-0zbMath1440.11016OpenAlexW3030632125MaRDI QIDQ2309759

Refik Keskin, Fatih Erduvan

Publication date: 1 April 2020

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-020-0554-0

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 (6)

Mersenne numbers which are products of two Pell numbers ⋮ Repdigits base \(b\) as products of two Pell numbers or Pell-Lucas numbers ⋮ Repdigits base \(b\) as products of two Fibonacci numbers ⋮ On concatenations of Fibonacci and Lucas numbers ⋮ Repdigits Base $b$ as Difference of Two Fibonacci Numbers ⋮ Repdigits base b as products of two Lucas numbers

Uses Software

• Mathematica

Cites Work

• 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
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²
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