A Pillai-Catalan-type problem involving Fibonacci numbers

DOI10.1007/S41478-024-00779-4MaRDI QIDQ6660740

Seyran S. Ibrahimov, Nazim Idrisoglu Mahmudov

Publication date: 10 January 2025

Published in: The Journal of Analysis (Search for Journal in Brave)

zbMATH Keywords

Fibonacci numbersPillai's problemCatalan's problemBaker-Davenport reduction technique

Mathematics Subject Classification ID

Combinatorics (05-XX) Number theory (11-XX)

Cites Work

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• Introduction to the theory of numbers.
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• The equation \(2^x - 3^y = d\).
• The equation \(2^x- 3^y = d\).
• An explicit lower bound for a homogeneous rational linear form in logarithms of algebraic numbers. II
• On a conjecture about repdigits in \(k\)-generalized Fibonacci sequences
• Repdigits as sums of three Fibonacci numbers
• Fibonacci and Lucas Numbers With Applications
• Primary cyclotomic units and a proof of Catalans conjecture
• On The diophantine equationFn+F_m=2^a
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²

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