On the gcd's of \(k\) consecutive terms of Lucas sequences

DOI10.1016/j.jnt.2012.05.022zbMath1280.11058OpenAlexW2000740570MaRDI QIDQ455814

Lajos Hajdu, Márton Szikszai

Publication date: 22 October 2012

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2012.05.022

zbMATH Keywords

greatest common divisorLucas sequencesdivisibility sequencesPillai's problem

Mathematics Subject Classification ID

Recurrences (11B37) Distribution of integers in special residue classes (11N69) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items

Extending a problem of Pillai to Gaussian lines, PERFECT POWERS IN PRODUCTS OF TERMS OF ELLIPTIC DIVISIBILITY SEQUENCES, The GCD sequences of the altered Lucas sequences

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