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Researcher
Gregory Debruyne
Profile
Projects
Publications
Activities
Awards & Distinctions
24
Results
2024
Contributions to analytic number theory : zero-density estimates for L-functions, almost-prime k-tuples, and Tauberian theorems
Bin Chen
Jasson Vindas Diaz
Gregory Debruyne
Dissertation
2024
On the density hypothesis for L-functions associated with holomorphic cusp forms
Bin Chen
Gregory Debruyne
Jasson Vindas Diaz
A1
Journal Article
in
REVISTA MATEMATICA IBEROAMERICANA
2024
Some examples of well-behaved Beurling number systems
Szilárd Révész
Frederik Broucke
Gregory Debruyne
U
Journal Article
in
Transactions of the American Mathematical Society
2024
The optimal Malliavin-type remainder for Beurling generalized integers
Frederik Broucke
Gregory Debruyne
Jasson Vindas Diaz
A1
Journal Article
in
JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU
2024
2023
On zero-density estimates and the PNT in short intervals for Beurling generalized numbers
Frederik Broucke
Gregory Debruyne
A1
Journal Article
in
ACTA ARITHMETICA
2023
2022
Asymptotic methods in number theory and analysis
Frederik Broucke
Jasson Vindas Diaz
Gregory Debruyne
Dissertation
2022
2021
An asymptotic analysis of the Fourier-Laplace transforms of certain oscillatory functions
Frederik Broucke
Gregory Debruyne
Jasson Vindas Diaz
A1
Journal Article
in
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
2021
On the absence of remainders in the Wiener-Ikehara and Ingham-Karamata theorems : a constructive approach
Frederik Broucke
Gregory Debruyne
Jasson Vindas Diaz
A1
Journal Article
in
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
2021
2020
Beurling integers with RH and large oscillation
Frederik Broucke
Gregory Debruyne
Jasson Vindas Diaz
A1
Journal Article
in
ADVANCES IN MATHEMATICS
2020
Beurling numbers whose number of prime factors lies in a specified residue class
Gregory Debruyne
A1
Journal Article
in
ACTA ARITHMETICA
2020
Halász's theorem for Beurling generalized numbers
Gregory Debruyne
Frederick Maes
Jasson Vindas Diaz
A1
Journal Article
in
ACTA ARITHMETICA
2020
The saddle-point method for general partition functions
Gregory Debruyne
Gérald Tenenbaum
A1
Journal Article
in
INDAGATIONES MATHEMATICAE-NEW SERIES
2020
2019
An abstract approach to optimal decay of functions and operator semigroups
Gregory Debruyne
David Seifert
A1
Journal Article
in
ISRAEL JOURNAL OF MATHEMATICS
2019
Complex Tauberian theorems for Laplace transforms with local pseudofunction boundary behavior
Gregory Debruyne
Jasson Vindas Diaz
A1
Journal Article
in
JOURNAL D ANALYSE MATHEMATIQUE
2019
On Diamond’s L¹ criterion for asymptotic density of Beurling generalized integers
Gregory Debruyne
Jasson Vindas Diaz
A1
Journal Article
in
MICHIGAN MATHEMATICAL JOURNAL
2019
Optimality of the quantified Ingham-Karamata theorem for operator semigroups with general resolvent growth
Gregory Debruyne
David Seifert
A1
Journal Article
in
ARCHIV DER MATHEMATIK
2019
2018
Complex Tauberian theorems and applications to Beurling generalized primes
Gregory Debruyne
Jasson Vindas Diaz
Dissertation
2018
M(x)=o(x) estimates for Beurling numbers
Gregory Debruyne
Harold Diamond
Jasson Vindas Diaz
A1
Journal Article
in
JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX
2018
Note on the absence of remainders in the Wiener-Ikehara theorem
Gregory Debruyne
Jasson Vindas Diaz
A1
Journal Article
in
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
2018
Optimal Tauberian constant in Ingham’s theorem for Laplace transforms
Gregory Debruyne
Jasson Vindas Diaz
A1
Journal Article
in
ISRAEL JOURNAL OF MATHEMATICS
2018
2017
On PNT equivalences for Beurling numbers
Gregory Debruyne
Jasson Vindas Diaz
A1
Journal Article
in
MONATSHEFTE FUR MATHEMATIK
2017
On general prime number theorems with remainder
Gregory Debruyne
Jasson Vindas Diaz
Bookchapter
in
Generalized functions and Fourier analysis
2017
2016
Generalization of the Wiener-Ikehara theorem
Gregory Debruyne
Jasson Vindas Diaz
A2
Journal Article
in
ILLINOIS JOURNAL OF MATHEMATICS
2016
Some examples in the theory of Beurling's generalized prime numbers
Gregory Debruyne
Jan-Christoph Schlage-Puchta
Jasson Vindas Diaz
A1
Journal Article
in
ACTA ARITHMETICA
2016