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math.CA2021★ 4 cited
The pointwise behavior of Riemann's function
Frederik Broucke, Jasson Vindas
We present a new and simple method for the determination of the pointwise Hölder exponent of Riemann's function at every point of the rea…
math.CA2020★ 6 cited
On the absence of remainders in the Wiener-Ikehara and Ingham-Karamata theorems: a constructive approach
Frederik Broucke, Gregory Debruyne, Jasson Vindas
We construct explicit counterexamples that show that it is impossible to get any remainder, other than the classical ones, in the Wiener-Ikehara theorem and the Ingham-Karamata the…