works on
quartic characters 2cubic characters 1elliptic curves 1large sieve 1l-functions 1metaplectic theta functions 1non-vanishing 1rankin-selberg 1rank zero 1

From the 2 of 4 linked papers with an AI index.

collaborators

4 papers

math.NT2026

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

Cruz Castillo, Alexandre de Faveri, Alexander Dunn

The paper proves that a positive proportion of quartic Hecke L‑functions attached to quartic residue symbols over Gaussian integers do not vanish at the central point, and uses thi…

math.NT2026

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

Alexandre de Faveri, Alexander Dunn, Jeffrey Hoffstein

The paper proves that cubic and quartic large sieve families are not perfectly orthogonal, showing the obstruction comes from bias in Gauss sums and providing analytic bounds via R…

math.NT2026

Mass equidistribution for lifts on hyperbolic -manifolds

Alexandre de Faveri, Zvi Shem-Tov

We prove the quantum unique ergodicity (QUE) conjecture of Rudnick and Sarnak for the sequence of Pitale lifts, which are Hecke-Maass forms on a congruence quotient of $\mathbb{H}^…

math.NT2026

Non-vanishing for cubic Hecke -functions

Chantal David, Alexandre de Faveri, Alexander Dunn +1

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