Gregory Debruyne

activity

20152024

most citedOn PNT equivalences for Beurling numbers

17 citations · 118 across the 21 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.CA2017★ 10 cited

Optimal Tauberian constant in Ingham's theorem for Laplace transforms

Gregory Debruyne, Jasson Vindas

It is well known that there is an absolute constant $C > 0$ such that if the Laplace transform $G (s) = \int_{0}^{\infty} ρ (x) e^{- s x} d x$ of a bounded function $ρ$ …

math.NT2017★ 3 cited

On Diamond's $L^{1}$ criterion for asymptotic density of Beurling generalized integers

Gregory Debruyne, Jasson Vindas

We give a short proof of the $L^{1}$ criterion for Beurling generalized integers to have a positive asymptotic density. We actually prove the existence of density under a weaker hy…

Optimal Tauberian constant in Ingham's theorem for Laplace transforms

On Diamond's L1 criterion for asymptotic density of Beurling generalized integers

On Diamond's $L^{1}$ criterion for asymptotic density of Beurling generalized integers