Daniel Fiorilli

activity

20092025

most citedSurpassing the Ratios Conjecture in the 1-level density of Dirichlet

L

-functions

31 citations · 131 across the 24 of their papers we have counts for

collaborators

Showing 2016Show all

2 papers · 1 filter

math.NT2016

Major arcs and moments of arithmetical sequences

Régis de la Bretèche, Daniel Fiorilli

We give estimates for the first two moments of arithmetical sequences in progressions. Instead of using the standard approximation, we work with a generalization of Vaughan's major…

math.NT2016★ 10 cited

Low-lying zeros of quadratic Dirichlet $L$ -functions: Lower order terms for extended support

Daniel Fiorilli, James Parks, Anders Södergren

We study the $1$ -level density of low-lying zeros of Dirichlet $L$ -functions attached to real primitive characters of conductor at most $X$ . Under the Generalized Riemann Hypothesi…

Major arcs and moments of arithmetical sequences

Low-lying zeros of quadratic Dirichlet L-functions: Lower order terms for extended support

Low-lying zeros of quadratic Dirichlet $L$ -functions: Lower order terms for extended support