On the growth of multi-recurrences

In this paper, we provide a complete proof for a bound on the growth of multi-recurrences which are defined over a number field. The proven bound was already stated by van der Poorten and Schlickewei 40 years ago.

Detalles Bibliográficos
Autores principales: Fuchs, Clemens, Heintze, Sebastian
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9573855/
https://www.ncbi.nlm.nih.gov/pubmed/36267386
http://dx.doi.org/10.1007/s00013-022-01775-5
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author Fuchs, Clemens
Heintze, Sebastian
author_facet Fuchs, Clemens
Heintze, Sebastian
author_sort Fuchs, Clemens
collection PubMed
description In this paper, we provide a complete proof for a bound on the growth of multi-recurrences which are defined over a number field. The proven bound was already stated by van der Poorten and Schlickewei 40 years ago.
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spelling pubmed-95738552022-10-18 On the growth of multi-recurrences Fuchs, Clemens Heintze, Sebastian Arch Math Article In this paper, we provide a complete proof for a bound on the growth of multi-recurrences which are defined over a number field. The proven bound was already stated by van der Poorten and Schlickewei 40 years ago. Springer International Publishing 2022-09-27 2022 /pmc/articles/PMC9573855/ /pubmed/36267386 http://dx.doi.org/10.1007/s00013-022-01775-5 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, 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 licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Fuchs, Clemens
Heintze, Sebastian
On the growth of multi-recurrences
title On the growth of multi-recurrences
title_full On the growth of multi-recurrences
title_fullStr On the growth of multi-recurrences
title_full_unstemmed On the growth of multi-recurrences
title_short On the growth of multi-recurrences
title_sort on the growth of multi-recurrences
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9573855/
https://www.ncbi.nlm.nih.gov/pubmed/36267386
http://dx.doi.org/10.1007/s00013-022-01775-5
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