On the exponential Diophantine equation related to powers of two consecutive terms of Lucas sequences

Let [Formula: see text] be an integer and [Formula: see text] be the Lucas sequence given by [Formula: see text] , [Formula: see text] and [Formula: see text] , for all [Formula: see text] . In this paper, we show that there are no positive integers [Formula: see text] such that [Formula: see text]...

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Detalles Bibliográficos
Autores principales: Ddamulira, Mahadi, Luca, Florian
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550777/
https://www.ncbi.nlm.nih.gov/pubmed/34720672
http://dx.doi.org/10.1007/s11139-020-00278-7
Descripción
Sumario:Let [Formula: see text] be an integer and [Formula: see text] be the Lucas sequence given by [Formula: see text] , [Formula: see text] and [Formula: see text] , for all [Formula: see text] . In this paper, we show that there are no positive integers [Formula: see text] such that [Formula: see text] is a member of [Formula: see text] .

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