Products of three Fibonacci numbers that are repdigits

DOI10.32513/ASETMJ/193220082333zbMATH Open1545.11013MaRDI QIDQ6549909

Murat Alan, Kadriye Simsek Alan

Publication date: 4 June 2024

Published in: Advanced Studies: Euro-Tbilisi Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Fibonacci numberslinear forms in logarithmsDiophantine equationsrepdigits

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)

Cites Work

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• Repdigits as sums of three Pell numbers
• On the Euler function of \(Y\)-coordinates of Pell equations and repdigits
• Repdigits as products of two Fibonacci or Lucas numbers
• Repdigits as sums of two \(k\)-Fibonacci numbers
• An explicit lower bound for a homogeneous rational linear form in logarithms of algebraic numbers. II
• On \(k\)-generalized Fibonacci numbers with only one distinct digit
• On a conjecture about repdigits in \(k\)-generalized Fibonacci sequences
• Repdigits as sums of three Fibonacci numbers
• On Y-coordinates of Pell equations which are base 2 rep-digits
• Repdigits base b as products of two Lucas numbers
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²

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