2 papers
math.NT2026
Moments in the Chebotarev density theorem: non-Gaussian families
Régis de La Bretèche, Daniel Fiorilli, Florent Jouve
In this paper we investigate higher moments attached to the Chebotarev Density Theorem. Our focus is on the impact that peculiar Galois group structures have on the limiting distri…
math.NT2025
Low-lying zeros in families of Maass form L-functions: an extended density theorem
Martin Äech, Lucile Devin, Daniel Fiorilli +2
We study the one-level density of low-lying zeros in the family of Maass form -functions of prime level tending to infinity. Generalizing the influential work of Iwaniec, Lu…