Effective resolution of Diophantine equations of the form \(u_n+u_m=w p_1^{z_1} \dotsm p_s^{z_s}\)

DOI10.1007/s00605-017-1121-3zbMath1440.11041arXiv1604.04720OpenAlexW2964300449MaRDI QIDQ1692331

István Pink, Volker Ziegler

Publication date: 26 January 2018

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.04720

zbMATH Keywords

Lucas sequencesS-unitsautomatic resolution

Mathematics Subject Classification ID

Computer solution of Diophantine equations (11Y50) Exponential Diophantine equations (11D61) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (10)

ON SOLUTIONS OF THE DIOPHANTINE EQUATION ⋮ Sums of \(S\)-units in sum of terms of recurrence sequences ⋮ On a variant of Pillai’s problem with binary recurrences and S-units ⋮ 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 prime factors of the sum of two k-Fibonacci numbers ⋮ Linear combinations of prime powers in sums of terms of binary recurrence sequences ⋮ On solutions of the Diophantine equation \(F_n-F_m=3^a\) ⋮ Nonnegative integer solutions of the equationFn ⋮ Prime powers in sums of terms of binary recurrence sequences

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