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ON PERFECT POWERS IN LINEAR RECURRENCE SEQUENCES OF INTEGERS

  • BUGEAUD Yann
    Institut de Recherche Mathématique Avancée, UMR 7501 Université de Strasbourg et CNRS
  • KANEKO Hajime
    Institute of Mathematics and Research Core for Mathematical Sciences University of Tsukuba

Abstract

<p>We prove that there are only finitely many perfect powers in any linear recurrence sequence of integers of order at least two and whose characteristic polynomial is irreducible and has a dominant root.</p>

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