Alexandre de Faveri

collaborators

3 papers

math.NT2026

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…

math.NT2026

Non-vanishing for quartic Hecke $L$ -functions and ranks of elliptic curves

Cruz Castillo, Alexandre de Faveri, Alexander Dunn

We show that a positive proportion of Hecke $L$ -functions attached to the quartic residue symbols $(\frac{\cdot}{q})_{4}$ for squarefree $q \in Z [i]$ do not vanish…

math.NT2026

Mass equidistribution for lifts on hyperbolic $4$ -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 $4$ -manifolds. The conjecture is known…

Non-orthogonality of the cubic and quartic large sieves via Rankin-Selberg

Non-vanishing for quartic Hecke L-functions and ranks of elliptic curves

Mass equidistribution for lifts on hyperbolic 4-manifolds

Non-vanishing for quartic Hecke $L$ -functions and ranks of elliptic curves

Mass equidistribution for lifts on hyperbolic $4$ -manifolds