ON PERFECT POWERS IN LINEAR RECURRENCE SEQUENCES OF INTEGERS
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- BUGEAUD Yann
- Institut de Recherche Mathématique Avancée, UMR 7501 Université de Strasbourg et CNRS
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- 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>
Journal
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- Kyushu Journal of Mathematics
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Kyushu Journal of Mathematics 73 (2), 221-227, 2019
Faculty of Mathematics, Kyushu University
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Details 詳細情報について
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- CRID
- 1390285300173712256
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- NII Article ID
- 130007871358
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- ISSN
- 18832032
- 13406116
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- Text Lang
- en
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- Data Source
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- JaLC
- Crossref
- CiNii Articles
- KAKEN
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- Abstract License Flag
- Disallowed