29 citations · 79 across the 18 of their papers we have counts for
5 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}…
The first moment of primes in arithmetic progressions: Beyond the Siegel-Walfisz range
Sary Drappeau, Daniel Fiorilli
We investigate the first moment of primes in progressions as . We show unconditio…
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…
One-level density estimates for Dirichlet L-functions with extended support
Sary Drappeau, Kyle Pratt, Maksym Radziwiłł
We estimate the -level density of low-lying zeros of with ranging over primitive Dirichlet characters of conductor and for test functions whose Fourie…
The Thue-Morse and Rudin-Shapiro sequences at primes in principal number fields
Sary Drappeau, Gautier Hanna
We consider a numeration system in the ring of integers of a number field, which we assume to be principal. We prove that the property of being a prime in ${\mathc…