49 citations · 178 across the 28 of their papers we have counts for
4 papers · 1 filter
Effective estimation of some oscillatory integrals related to infinitely divisible distributions
Sandro Bettin, Sary Drappeau
We present a practical framework to prove, in a simple way, two-terms asymptotic expansions for Fourier integrals $$ {\mathcal I}(t) = \int_{\mathbb R}({\rm e}^{itϕ(x)}-1) {\rm d}…
A note on the natural density of product sets
Sandro Bettin, Dimitris Koukoulopoulos, Carlo Sanna
Given two sets of natural numbers and of natural density we prove that their product set $\mathcal{A}\cdot \mathcal{B}:=\{ab:a\in\mathcal{A},\,b\in\…
Two arithmetic applications of perturbations of composition operators
Sandro Bettin, Sary Drappeau
We estimate the spectral radius of perturbations of a particular family of composition operators, in a setting where the usual choices of norms do not account for the typical size…
Averages of long Dirichlet polynomials
Sandro Bettin, J. Brian Conrey
We consider the asymptotic behavior of the mean square of truncations of the Dirichlet series of . We discuss the connections of this problem with that of the variance of t…