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
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author Patel, Vandita
Siksek, Samir
author_facet Patel, Vandita
Siksek, Samir
author_sort Patel, Vandita
collection PubMed
description 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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spelling pubmed-71149632020-04-06 On powers that are sums of consecutive like powers Patel, Vandita Siksek, Samir Res Number Theory Research 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. Springer International Publishing 2017-02-14 2017 /pmc/articles/PMC7114963/ /pubmed/32270016 http://dx.doi.org/10.1007/s40993-016-0068-0 Text en © The Author(s) 2017 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Patel, Vandita
Siksek, Samir
On powers that are sums of consecutive like powers
title On powers that are sums of consecutive like powers
title_full On powers that are sums of consecutive like powers
title_fullStr On powers that are sums of consecutive like powers
title_full_unstemmed On powers that are sums of consecutive like powers
title_short On powers that are sums of consecutive like powers
title_sort on powers that are sums of consecutive like powers
topic Research
url 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
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