4 citations · 4 across the 6 of their papers we have counts for
8 papers
Optimal large sieve for fixed order characters
Alexandre de Faveri
Let . We improve the large sieve inequality for -th order Hecke characters over any number field containing the -th roots of unity. Our bound is expected to be opti…
The sixth moment of the Riemann zeta function
Alexandre de Faveri, Mayank Pandey
We prove new large value estimates for the Riemann zeta function on the critical line. For instance, we improve the upper bound on the measure of with $|ζ(1/2 + it)|…
Non-orthogonality of the cubic and quartic large sieves via Rankin-Selberg
Alexandre de Faveri, Alexander Dunn, Jeffrey Hoffstein
We show unconditionally that the cubic and quartic large sieves are not perfectly orthogonal. The main obstruction to perfect orthogonality comes from the bias exhibited by Gauss s…
Non-vanishing for quartic Hecke -functions and ranks of elliptic curves
Cruz Castillo, Alexandre de Faveri, Alexander Dunn
We show that a positive proportion of Hecke -functions attached to the quartic residue symbols for squarefree do not vanish…
Mass equidistribution for lifts on hyperbolic -manifolds
Alexandre de Faveri, Zvi Shem-Tov
This paper is part of a broader project to establish the quantum unique ergodicity conjecture for Hecke-Maass forms on arithmetic hyperbolic -manifolds. The conjecture is known…
Simple zeros of -functions
Alexandre de Faveri
Let be a primitive holomorphic form of arbitrary weight and level . We show that the completed -function of has simple zeros w…
The variance of closed geodesics in balls and annuli on the modular surface
Alexandre de Faveri
We asymptotically estimate the variance for the distribution of closed geodesics in small random balls or annuli on the modular surface . A probabilistic mod…
Möbius disjointness for skew products
Alexandre de Faveri
We show that for , every skew product on over a rotation of satisfies Sarnak's conjecture. This is an improveme…