1 citations · 1 across the 3 of their papers we have counts for
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Computing sieve integrals using LattE, and the density of integers with a localized divisor
Sary Drappeau, Adrien Mounier
We consider the problem of estimating numerically integrals of the shape where is a convex polytope, $t=(t_1,\dots…
Exponential sums over integers without large prime divisors
Sary Drappeau, Igor E. Shparlinski
We obtain a new bound on exponential sums over integers without large prime divisors, improving that of Fouvry and Tenenbaum (1991). For a fixed integer , we also obtain ne…
On quantum modular forms of non-zero weights
Sandro Bettin, Sary Drappeau
We study functions on which statisfy a ``quantum modularity'' relation of the shape where $h:\mathbb R_{\ne…
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…