The approximate functional equation of some Diophantine series

DOI10.1007/s00605-023-01859-6MaRDI QIDQ6109717

Fernando Chamizo, Bruno Martin

Publication date: 28 July 2023

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

zbMATH Keywords

convergencecontinuityapproximate functional equationDiophantine series

Mathematics Subject Classification ID

Convergence and divergence of series and sequences of functions (40A30) Continued fractions and generalizations (11J70) Holomorphic modular forms of integral weight (11F11) Diophantine approximation in probabilistic number theory (11K60)

Cites Work

• Unnamed Item
• On the distribution of multiples of real numbers
• The convergence of certain Diophantine series
• On certain approximate functional equations that are related to the Gauss transformation
• Special values of trigonometric Dirichlet series and Eichler integrals
• On the convergence of Diophantine Dirichlet series
• Comportement local moyen de la fonction de Brjuno
• Estimates of $\sum__{k=1}^N k^{-s}〈kx〉^{-t}$

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