Repdigits base \(b\) as products of two Fibonacci numbers

DOI10.1007/S13226-021-00041-8zbMath1485.11030OpenAlexW3172004957MaRDI QIDQ2065352

Fatih Erduvan, Refik Keskin, Zafer Ṣiar

Publication date: 7 January 2022

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-021-00041-8

zbMATH Keywords

linear forms in logarithmsDiophantine equationsFibonacci numberrepdigitBaker's theory

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 (3)

$k$-generalized Pell numbers which are repdigits in base $b$ ⋮ Mersenne numbers which are products of two Pell numbers ⋮ Repdigits Base $b$ as Difference of Two Fibonacci Numbers

Cites Work

• Repdigits as sums of three Pell numbers
• Pell and Pell-Lucas numbers as sums of two repdigits
• Repdigits as products of two Fibonacci or Lucas numbers
• Repdigits as sums of four Pell numbers
• 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
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²
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