1 citations · 1 across the 2 of their papers we have counts for
8 papers
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…
Modularity and value distribution of quantum invariants of hyperbolic knots
Sandro Bettin, Sary Drappeau
We obtain an exact modularity relation for the -Pochhammer symbol. Using this formula, we show that Zagier's modularity conjecture for a knot essentially reduces to the arit…
Combinatorial identities and Titchmarsh's divisor problem for multiplicative functions
Sary Drappeau, Berke Topacogullari
Given a multiplicative function which is periodic over the primes, we obtain a full asymptotic expansion for the shifted convolution sum , where…