Alexandre de Faveri

collaborators

2 papers

math.NT2024

Non-vanishing for cubic Hecke $L$ -functions

Chantal David, Alexandre de Faveri, Alexander Dunn +1

Let $ω$ be a primitive cubic root of unity. We study the non-vanishing problem for the family of Hecke $L$ -functions associated to primitive cubic characters defined over the Eisen…

math.NT2024

Non-escape of mass for arithmetic quantum limits on hyperbolic $4$ -manifolds

Alexandre de Faveri, Zvi Shem-Tov

We make progress on the quantum unique ergodicity (QUE) conjecture for Hecke-Maass forms on a congruence quotient of hyperbolic $4$ -space, eliminating the possibility of "escape of…

Non-vanishing for cubic Hecke L-functions

Non-escape of mass for arithmetic quantum limits on hyperbolic 4-manifolds

Non-vanishing for cubic Hecke $L$ -functions

Non-escape of mass for arithmetic quantum limits on hyperbolic $4$ -manifolds