On the nonnegative integer solutions of the equation Fn ± Fm = ya

DOI10.2989/16073606.2020.1775155zbMath1486.11020OpenAlexW3164002557MaRDI QIDQ5163038

Jesse Larone, Omar Kihel

Publication date: 8 November 2021

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2020.1775155

zbMATH Keywords

linear forms in logarithmsDiophantine equationFibonacci number

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

• On perfect powers that are sums of two Fibonacci numbers
• On solutions of the Diophantine equation \(F_n-F_m=3^a\)
• 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
• On the Diophantine equation $F_{n}-F_{m}=2^{a}$
• Nonnegative integer solutions of the equationFn
• On The diophantine equationFn+F_m=2^a
• Perfect powers from products of terms in Lucas sequences

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