Research Explorer

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Researcher

Frederik Broucke

Awards & Distinctions

15 Results

2024

A mean value theorem for general dirichlet series

Frederik BrouckeTitus Hilberdink

A1 Journal Article in QUARTERLY JOURNAL OF MATHEMATICS

A new generalized prime random approximation procedure and some of its applications

Frederik BrouckeJasson Vindas Diaz

A1 Journal Article in MATHEMATISCHE ZEITSCHRIFT

A note on Bohr’s theorem for Beurling integer systems

Frederik BrouckeAthanasios KouroupisKarl-Mikael Perfekt

A1 Journal Article in MATHEMATISCHE ANNALEN

An omega-result for Beurling generalized integers

Frederik BrouckeTitus Hilberdink

A1 Journal Article in ACTA ARITHMETICA

On the Lindelöf hypothesis for general sequences

Frederik BrouckeSebastian Weishäupl

A1 Journal Article in MATHEMATIKA

The optimal Malliavin-type remainder for Beurling generalized integers

Frederik BrouckeGregory DebruyneJasson Vindas Diaz

A1 Journal Article in JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU

2023

Distributed-order time-fractional wave equations

Frederik BrouckeLjubica Oparnica

A1 Journal Article in ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

On zero-density estimates and the PNT in short intervals for Beurling generalized numbers

Frederik BrouckeGregory Debruyne

A1 Journal Article in ACTA ARITHMETICA

The pointwise behavior of Riemann’s function

Frederik BrouckeJasson Vindas Diaz

A1 Journal Article in JOURNAL OF FRACTAL GEOMETRY

2022

Asymptotic methods in number theory and analysis

Frederik BrouckeJasson Vindas DiazGregory Debruyne

Micro-local and qualitative analysis of the fractional Zener wave equation

Frederik BrouckeLjubica Oparnica

A1 Journal Article in JOURNAL OF DIFFERENTIAL EQUATIONS

2021

An asymptotic analysis of the Fourier-Laplace transforms of certain oscillatory functions

Frederik BrouckeGregory DebruyneJasson Vindas Diaz

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Note on a conjecture of Bateman and Diamond concerning the abstract PNT with Malliavin-type remainder

Frederik Broucke

A1 Journal Article in MONATSHEFTE FUR MATHEMATIK

On the absence of remainders in the Wiener-Ikehara and Ingham-Karamata theorems : a constructive approach

Frederik BrouckeGregory DebruyneJasson Vindas Diaz

A1 Journal Article in PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

2020

Beurling integers with RH and large oscillation

Frederik BrouckeGregory DebruyneJasson Vindas Diaz

A1 Journal Article in ADVANCES IN MATHEMATICS