31 citations · 131 across the 24 of their papers we have counts for
29 papers
Low-lying zeros in families of Maass form L-functions: an extended density theorem
Martin Čech, 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…
Moments in the Chebotarev density theorem: general class functions
Régis de La Bretèche, Daniel Fiorilli, Florent Jouve
In this paper we find lower bounds on higher moments of the error term in the Chebotarev density theorem. Inspired by the work of Bella\''ıche, we consider general class functions…
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…
Extending the unconditional support in an Iwaniec-Luo-Sarnak family
Lucile Devin, Daniel Fiorilli, Anders Södergren
We study the harmonically weighted one-level density of low-lying zeros of -functions in the family of holomorpic newforms of fixed even weight and prime level tending t…
Omega results for cubic field counts via lower-order terms in the one-level density
Peter J. Cho, Daniel Fiorilli, Yoonbok Lee +1
In this paper we obtain a precise formula for the -level density of -functions attached to non-Galois cubic Dedekind zeta functions. We find a secondary term which is unique…
Unconditional Chebyshev biases in number fields
Daniel Fiorilli, Florent Jouve
Prime counting functions are believed to exhibit, in various contexts, discrepancies beyond what famous equidistribution results predict; this phenomenon is known as Chebyshev's bi…