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Journal Articles Monatshefte für Mathematik Year : 2023

The approximate functional equation of some Diophantine series

Abstract

Abstract 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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Dates and versions

hal-04154260 , version 1 (06-07-2023)

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Fernando Chamizo, Bruno Martin. The approximate functional equation of some Diophantine series. Monatshefte für Mathematik, 2023, ⟨10.1007/s00605-023-01859-6⟩. ⟨hal-04154260⟩
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