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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:
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