16 citations · 58 across the 16 of their papers we have counts for
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The optimal Malliavin-type remainder for Beurling generalized integers
Frederik Broucke, Gregory Debruyne, Jasson Vindas
We establish the optimal order of Malliavin-type remainders in the asymptotic density approximation formula for Beurling generalized integers. Given and (with $c…
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…
Micro-local and qualitative analysis of the fractional Zener wave equation
Frederik Broucke, Ljubica Oparnica
This paper concerns the micro-local and qualitative analysis of the fractional Zener wave equation. The classical and Gevrey-type wave front sets of the fundamental solution are de…
A new generalized prime random approximation procedure and some of its applications
Frederik Broucke, Jasson Vindas
We present a new random approximation method that yields the existence of a discrete Beurling prime system which is very close in a certain p…