The approximate functional equation of some Diophantine series

We prove that a family of Diophantine series satisfies an approximate functional equation. It generalizes a result by Rivoal and Roques and proves an extended version of a conjecture posed in their paper. We also characterize the convergence points.

Detalles Bibliográficos
Autores principales: Chamizo, Fernando, Martin, Bruno
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Vienna 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10363075/
https://www.ncbi.nlm.nih.gov/pubmed/37489163
http://dx.doi.org/10.1007/s00605-023-01859-6
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author Chamizo, Fernando
Martin, Bruno
author_facet Chamizo, Fernando
Martin, Bruno
author_sort Chamizo, Fernando
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description We prove that a family of Diophantine series satisfies an approximate functional equation. It generalizes a result by Rivoal and Roques and proves an extended version of a conjecture posed in their paper. We also characterize the convergence points.
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spelling pubmed-103630752023-07-24 The approximate functional equation of some Diophantine series Chamizo, Fernando Martin, Bruno Mon Hefte Math Article We prove that a family of Diophantine series satisfies an approximate functional equation. It generalizes a result by Rivoal and Roques and proves an extended version of a conjecture posed in their paper. We also characterize the convergence points. Springer Vienna 2023-05-05 2023 /pmc/articles/PMC10363075/ /pubmed/37489163 http://dx.doi.org/10.1007/s00605-023-01859-6 Text en © The Author(s) 2023 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
Chamizo, Fernando
Martin, Bruno
The approximate functional equation of some Diophantine series
title The approximate functional equation of some Diophantine series
title_full The approximate functional equation of some Diophantine series
title_fullStr The approximate functional equation of some Diophantine series
title_full_unstemmed The approximate functional equation of some Diophantine series
title_short The approximate functional equation of some Diophantine series
title_sort approximate functional equation of some diophantine series
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10363075/
https://www.ncbi.nlm.nih.gov/pubmed/37489163
http://dx.doi.org/10.1007/s00605-023-01859-6
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