On powers that are sums of consecutive like powers

Let [Formula: see text] be even, and let r be a non-zero integer. We show that for almost all [Formula: see text] (in the sense of natural density), the equation [Formula: see text] has no solutions.

Detalles Bibliográficos
Autores principales: Patel, Vandita, Siksek, Samir
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7114963/
https://www.ncbi.nlm.nih.gov/pubmed/32270016
http://dx.doi.org/10.1007/s40993-016-0068-0
Descripción
Sumario:Let [Formula: see text] be even, and let r be a non-zero integer. We show that for almost all [Formula: see text] (in the sense of natural density), the equation [Formula: see text] has no solutions.

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