On the exponential Diophantine equation Fnx ± Fmx = a with a ∈{Fr,Lr}

DOI10.1142/S1793042123500021OpenAlexW4280611400WikidataQ114071772 ScholiaQ114071772MaRDI QIDQ5877907

Zafer Ṣiar

Publication date: 16 February 2023

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042123500021

zbMATH Keywords

linear forms in logarithmsexponential Diophantine equationsBaker's methodFibonacci and Lucas numbers

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)

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Cites Work

• On the sum of powers of two consecutive Fibonacci numbers
• Fibonacci numbers at most one away from a perfect power
• Linear forms in logarithms and applications
• On perfect powers that are sums of two Fibonacci numbers
• Positive integer solutions of the Diophantine equation \(x^2-L_nxy+(-1)^ny^2=\pm 5^ r\)
• An exponential Diophantine equation related to powers of two consecutive Fibonacci 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
• An exponential Diophantine equation related to the sum of powers of two consecutive k-generalized Fibonacci numbers
• On perfect powers which are sum or difference of two Lucas numbers
• An exponential Diophantine equation related to the difference between powers of two consecutive Balancing numbers
• On the exponential Diophantine equation Pxn+Pxn+1=Pm
• Powers of two as sums of two k-Fibonacci numbers
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²
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