ON SOLUTIONS OF THE DIOPHANTINE EQUATION Fn1 + Fn2 + Fn3 + Fn4 = 2^a

DOI10.22124/jart.2021.19294.1266zbMath1499.11086arXiv2202.10127OpenAlexW4225355744MaRDI QIDQ5077101

Pagdame Tiebekabe, Ismaïla Diouf

Publication date: 17 May 2022

Full work available at URL: https://arxiv.org/abs/2202.10127

zbMATH Keywords

Fibonacci sequenceperfect powersLucas sequenceDiophantine equationslinear forms in logarithm

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

• Powers of two as sums of three Fibonacci numbers
• Effective resolution of Diophantine equations of the form \(u_n+u_m=w p_1^{z_1} \dotsm p_s^{z_s}\)
• On the nonnegative integer solutions to the equation \(F_n \pm F_m = y^a\)
• Linear forms in logarithms and the mathematical method of Diophantine equations: applications in chemistry and physics
• On solutions of the Diophantine equation \(F_n-F_m=3^a\)
• An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
• On factorials expressible as sums of at most three Fibonacci numbers
• On the Diophantine equation $F_{n}-F_{m}=2^{a}$
• Nonnegative integer solutions of the equationFn
• On The diophantine equationFn+F_m=2^a
• Determining Number of Some Families of Cubic Graphs
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