On the Diophantine equation $F_{n}-F_{m}=2^{a}$

DOI10.4064/cm7485-12-2018zbMath1452.11022arXiv1712.10138OpenAlexW2982152481MaRDI QIDQ5207315

Refik Keskin, Zafer Ṣiar

Publication date: 19 December 2019

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.10138

zbMATH Keywords

Fibonacci numbersBaker-Davenport reduction methodBaker's theory for linear forms in logarithms

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 (6)

On the nonnegative integer solutions to the equation \(F_n \pm F_m = y^a\) ⋮ ON SOLUTIONS OF THE DIOPHANTINE EQUATION Fn1 + Fn2 + Fn3 + Fn4 = 2^a ⋮ On the nonnegative integer solutions of the equation F_n ± F_m = y^a ⋮ On solutions of the Diophantine equation \(F_n-F_m=3^a\) ⋮ Nonnegative integer solutions of the equationFn ⋮ Mersenne numbers as a difference of two Lucas numbers

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