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Researcher
Gregory Debruyne
- Keywords:Beurling prime number systems, prime number theorem, Tauberian theory, analytical number theory
- Disciplines:Sequences, series, summability, Integral transforms, operational calculus, Number theory, Approximations and expansions
Affiliations
- Department of Mathematics: Analysis, Logic and Discrete Mathematics (Department)
Member
From1 Jan 2019 → Today - Department of Mathematics: Algebra and Geometry (Department)
Member
From10 Sep 2014 → 31 Dec 2018
Projects
1 - 4 of 4
- Advances in Tauberian theoryFrom1 Nov 2023 → TodayFunding: FWO senior postdoctoral fellowship
- Initiation of a unified program for Tauberian theoryFrom1 Oct 2022 → 31 Oct 2023Funding: BOF - postdoctoral mandates
- General Tauberian remainder theoryFrom1 Oct 2018 → 30 Sep 2022Funding: FWO fellowships
- Complex and remainder Tauberian theoryFrom1 Oct 2014 → 30 Sep 2018Funding: BOF - Doctoral projects
Publications
1 - 10 of 19
- An asymptotic analysis of the Fourier-Laplace transforms of certain oscillatory functions(2021)
Authors: Frederik Broucke, Gregory Debruyne, Jasson Vindas Diaz
- Beurling numbers whose number of prime factors lies in a specified residue class(2020)
Authors: Gregory Debruyne
Pages: 433 - 438 - Beurling integers with RH and large oscillation(2020)
Authors: Frederik Broucke, Gregory Debruyne, Jasson Vindas Diaz
- The saddle-point method for general partition functions(2020)
Authors: Gregory Debruyne, Gérald Tenenbaum
Pages: 728 - 738 - Halász's theorem for Beurling generalized numbers(2020)
Authors: Gregory Debruyne, Frederick Maes, Jasson Vindas Diaz
Pages: 59 - 72 - Generalization of the Wiener-Ikehara theorem(2016)
Authors: Gregory Debruyne, Jasson Vindas Diaz
Pages: 613 - 624 - Complex Tauberian theorems and applications to Beurling generalized primes
Authors: Gregory Debruyne
- Optimality of the quantified Ingham-Karamata theorem for operator semigroups with general resolvent growth
Authors: Gregory Debruyne, David Seifert
Pages: 617 - 627 - On PNT equivalences for Beurling numbers
Authors: Gregory Debruyne
Pages: 401 - 424 - On the absence of remainders in the Wiener-Ikehara and Ingham-Karamata theorems : a constructive approach
Authors: Frederik Broucke, Gregory Debruyne
Pages: 1053 - 1060