5 citations · 7 across the 5 of their papers we have counts for
10 papers
Power-saving error terms for the number of -quartic extensions over a number field ordered by discriminant
Alina Bucur, Alexandra Florea, Allechar Serrano López +1
We study the asymptotic count of dihedral quartic extensions over a fixed number field with bounded norm of the relative discriminant. The main term of this count (including a summ…
The Ratios Conjecture and upper bounds for negative moments of -functions over function fields
Hung M. Bui, Alexandra Florea, Jonathan P. Keating
We prove special cases of the Ratios Conjecture for the family of quadratic Dirichlet --functions over function fields. More specifically, we study the average of $L(1/2+α,χ_D)/…
Hilbert transforms and the equidistribution of zeros of polynomials
Emanuel Carneiro, Mithun Kumar Das, Alexandra Florea +5
We improve the current bounds for an inequality of Erdős and Turán from 1950 related to the discrepancy of angular equidistribution of the zeros of a given polynomial. Building upo…
Non-vanishing for cubic --functions
Chantal David, Alexandra Florea, Matilde Lalin
We prove that there is a positive proportion of -functions associated to cubic characters over that do not vanish at the critical point . This is achiev…
Type-I contributions to the one and two level densities of quadratic Dirichlet --functions over function fields
Hung M. Bui, Alexandra Florea, Jonathan Keating
Using the Ratios Conjecture, we write down precise formulas with lower order terms for the one and the two level densities of zeros of quadratic Dirichlet --functions over funct…
Moments of Dirichlet -functions with prime conductors over function fields
Hung M. Bui, Alexandra Florea
We compute the second moment in the family of quadratic Dirichlet -functions with prime conductors over when the degree of the discriminant goes to infinity, o…