F. Broucke, T. Hilberdink,
A mean value theorem for general Dirichlet series.
[Preprint]
F. Broucke, G. Debruyne, Sz. Révész,
Some examples of well-behaved Beurling number systems.
[Preprint]
F. Broucke, J. Vindas,
A new generalized prime random approximation procedure and some of its applications.
[Preprint]
Published articles
F. Broucke, S. Weishäupl,
On the Lindelöf hypothesis for general sequences, to appear in Mathematika.
[Article
|
Preprint]
F. Broucke, T. Hilberdink,
An omega-result for Beurling generalized integers, Acta Arith. 212 (2024), 359-371.
[Article
|
Preprint]
F. Broucke, A. Kouroupis, K.-M. Perfekt,
A note on Bohr's theorem for Beurling integer systems, to appear in Math. Ann.
[Article
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Preprint]
F. Broucke, J. Vindas,
The pointwise behavior of Riemann's function, J. Fractal Geom. 10 (2023), no. 3/4, 333-349.
[Article
|
Preprint]
F. Broucke, G. Debruyne,
On zero-density estimates and the PNT in short intervals for Beurling generalized numbers, Acta Arith. 207 (2023), 365-391.
[Article
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Preprint]
F. Broucke, Lj. Oparnica,
Distributed-order time-fractional wave equations, Z. Angew. Math. Phys. 74:1 article 19 (2023).
[Article
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Preprint]
F. Broucke, G. Debruyne, J. Vindas,
The optimal Malliavin-type remainder for Beurling generalized integers, J. Inst. Math. Jussieu. 23(1) (2024), 249-278
[Article
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Preprint]
F. Broucke, Lj. Oparnica,
Micro-local and qualitative analysis of the fractional Zener wave equation,
J. Differ. Equ. 321 (2022), 217-257.
[Article
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Preprint]
F. Broucke,
Note on a conjecture of Bateman and Diamond concerning the abstract PNT with Malliavin-type remainder,
Monatsh. Math. 196 (2021), no. 3, 457-470.
[Article
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Preprint]
F. Broucke, G. Debruyne, J. Vindas,
On the absence of remainders in the Wiener-Ikehara and Ingham-Karamata theorems: a constructive approach,
Proc. Amer. Math. Soc. 149 (2021), 1053-1060.
[Article
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Preprint]
F. Broucke, G. Debruyne, J. Vindas,
An asymptotic analysis of the Fourier-Laplace transforms of certain oscillatory functions,
J. Math. Anal. Appl. 494 (2021), article number 124450.
[Article
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Preprint]
F. Broucke, G. Debruyne, J. Vindas,
Beurling integers with RH and large oscillation,
Adv. Math. 370 (2020), article number 107240.
[Article
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Preprint]
Ph.D thesis
F. Broucke,
Asymptotic methods in number theory and analysis,
Dissertation, Ghent University, 2022.
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