3 papers
math.NT2026
Counting metacyclic fields
Maddie Allen, Justine Dell, Milad Fakhari +3
By a metacyclic field we mean the Galois closure of a pure field , , of odd prime degree . Let denote the c…
math.NT2025
The shape of quadratic Gauss paths
Justine Dell, Djordje MiliÄeviÄ
We consider the distribution of quadratic Gauss paths, polygonal paths joining partial sums of quadratic Gauss sums to square-free fundamental discriminant moduli in a dyadic range…
math.NT2025
On the moments of one-level densities in families of holomorphic cusp forms in the level aspect
Peter Cohen, Justine Dell, Oscar E. González +10
We study the centered moments of the -level density for the low-lying zeros of -functions attached to holomorphic cuspidal newforms of large prime level and fixe…