Alexandra Florea

activity

20152026

most citedThe mean values of cubic L-functions over function fields

13 citations · 53 across the 19 of their papers we have counts for

collaborators

23 papers

math.NT2026

Small values of the Riemann zeta-function near the critical line

Hung M. Bui, Alexandra Florea, André Heycock

Assuming the Riemann Hypothesis, we study negative moments and small values of the Riemann zeta-function to the right of the critical line. For every fixed $0 < k < 1/2$ , we establish…

math.NT2026

Simultaneous non-vanishing of Dirichlet $L$ --functions, II: Weighted central limit theorem

Hung M. Bui, Alexandra Florea, Micah B. Milinovich

Under the Generalized Riemann Hypothesis, we prove a weighted central limit theorem for the joint distribution of four Dirichlet $L$ --functions at the central point, twisted by the…

math.NT2026

Simultaneous non-vanishing of Dirichlet L-functions

Hung M. Bui, Alexandra Florea, Micah B. Milinovich

In this paper, we prove the simultaneous non-vanishing of four Dirichlet $L$ -functions at any point on the critical line. More precisely, let $χ_{1}, \dots, χ_{4}$ be even Dirichlet cha…

math.NT2025

Simultaneous nonvanishing of Dirichlet $L$ -functions in Galois orbits

Hung M. Bui, Alexandra Florea, Hieu T. Ngo

Under the Generalized Riemann Hypothesis, we prove that given any two distinct imprimitive Dirichlet characters $η_{1}, η_{2}$ modulo $q = p^{k}$ , a positive proportion of characters $χ$ m…

math.NT2025

Nonvanishing of $L$ --functions associated to fixed order characters over function fields

Chantal David, Alexandra Florea, Matilde Lalin

We show that a positive proportion of the values $L (1/2, χ_{c})$ are non-zero, where $χ_{c}$ is the $ℓ^{th}$ residue symbol for $ℓ \geq 3$ over $F_{q} [t]$ , when aver…

math.NT2025

The shifted convolution problem in function fields

Alexandra Florea, Matilde Lalín, Amita Malik +1

We study the shifted convolution problem for the divisor function in function fields in the large degree limit, that is, the average value of $d (f) d (f + h)$ where $f$ runs over moni…

math.NT2023

Negative discrete moments of the derivative of the Riemann zeta-function

Hung M. Bui, Alexandra Florea, Micah B. Milinovich

We obtain conditional upper bounds for negative discrete moments of the derivative of the Riemann zeta-function averaged over a subfamily of zeros of the zeta function which is exp…

math.NT2023

Moments of Artin-Schreier L-functions

Alexandra Florea, Edna Jones, Matilde Lalin

We compute moments of $L$ -functions associated to the polynomial family of Artin--Schreier covers over $F_{q}$ , where $q$ is a power of a prime $p > 2$ , when the size of the f…

math.NT2023★ 1 cited

Negative moments of the Riemann zeta-function

Hung M. Bui, Alexandra Florea

Assuming the Riemann Hypothesis we study negative moments of the Riemann zeta-function and obtain asymptotic formulas in certain ranges of the shift in $ζ (s)$ . For example, integra…

math.NT2022

Power-saving error terms for the number of $D_{4}$ -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…

math.NT2021

Negative moments of $L$ -functions with small shifts over function fields

Alexandra Florea

We consider negative moments of quadratic Dirichlet $L$ --functions over function fields. Summing over monic square-free polynomials of degree $2 g + 1$ in $F_{q} [x]$ , we obtain…

math.NT2021★ 1 cited

The Ratios Conjecture and upper bounds for negative moments of $L$ -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 $L$ --functions over function fields. More specifically, we study the average of $L(1/2+α,χ_D)/…

math.CA2021★ 12 cited

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…

math.NT2020★ 5 cited

Non-vanishing for cubic $L$ --functions

Chantal David, Alexandra Florea, Matilde Lalin

We prove that there is a positive proportion of $L$ -functions associated to cubic characters over $F_{q} [T]$ that do not vanish at the critical point $s = 1/2$ . This is achiev…

math.NT2020

Type-I contributions to the one and two level densities of quadratic Dirichlet $L$ --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 $L$ --functions over funct…

math.NT2019

Moments of Dirichlet $L$ -functions with prime conductors over function fields

Hung M. Bui, Alexandra Florea

We compute the second moment in the family of quadratic Dirichlet $L$ -functions with prime conductors over $F_{q} [x]$ when the degree of the discriminant goes to infinity, o…

math.NT2019★ 11 cited

Moments of quadratic twists of elliptic curve L-functions over function fields

H. M. Bui, Alexandra Florea, Jonathan P. Keating +1

We calculate the first and second moments of L-functions in the family of quadratic twists of a fixed elliptic curve E over F_q[x], asymptotically in the limit as the degree of the…

math.NT2019★ 13 cited

The mean values of cubic L-functions over function fields

Chantal David, Alexandra Florea, Matilde Lalin

We obtain an asymptotic formula for the mean value of L-functions associated to cubic characters over F_q[t]. We solve this problem in the non-Kummer setting when q=2 (mod 3) and i…

math.NT2016★ 9 cited

Hybrid Euler-Hadamard product for quadratic Dirichlet $L$ -functions in function fields

H. M. Bui, Alexandra Florea

We develop a hybrid Euler-Hadamard product model for quadratic Dirichlet $L$ --functions over function fields (following the model introduced by Gonek, Hughes and Keating for the Ri…

math.NT2016

The fourth moment of quadratic Dirichlet $L$ --functions over function fields

Alexandra Florea

We obtain an asymptotic formula for the fourth moment of quadratic Dirichlet $L$ --functions over $F_{q} [x]$ , as the base field $F_{q}$ is fixed and the genus of the f…

math.NT2016

Zeros of quadratic Dirichlet $L$ -functions in the hyperelliptic ensemble

Hung M. Bui, Alexandra Florea

We study the $1$ -level density and the pair correlation of zeros of quadratic Dirichlet $L$ -functions in function fields, as we average over the ensemble $H_{2 g + 1}$ of mo…

math.NT2015

The second and third moment of $L (\frac{1}{2}, χ)$ in the hyperelliptic ensemble

Alexandra Florea

We obtain asymptotic formulas for the second and third moment of quadratic Dirichlet $L$ --functions at the critical point, in the function field setting. We fix the ground field $\…

math.NT2015★ 1 cited

Improving the error term in the mean value of $L (\frac{1}{2}, χ)$ in the hyperelliptic ensemble

Alexandra Florea

Andrade and Keating computed the mean value of quadratic Dirichlet $L$ --functions at the critical point, in the hyperelliptic ensemble over a fixed finite field $F_{q}$ . Sum…

Small values of the Riemann zeta-function near the critical line

Simultaneous non-vanishing of Dirichlet L--functions, II: Weighted central limit theorem

Simultaneous non-vanishing of Dirichlet L-functions

Simultaneous nonvanishing of Dirichlet L-functions in Galois orbits

Nonvanishing of L--functions associated to fixed order characters over function fields

The shifted convolution problem in function fields

Negative discrete moments of the derivative of the Riemann zeta-function

Moments of Artin-Schreier L-functions

Negative moments of the Riemann zeta-function

Power-saving error terms for the number of D4​-quartic extensions over a number field ordered by discriminant

Negative moments of L-functions with small shifts over function fields

The Ratios Conjecture and upper bounds for negative moments of L-functions over function fields

Hilbert transforms and the equidistribution of zeros of polynomials

Non-vanishing for cubic L--functions

Type-I contributions to the one and two level densities of quadratic Dirichlet L--functions over function fields

Moments of Dirichlet L-functions with prime conductors over function fields

Moments of quadratic twists of elliptic curve L-functions over function fields

The mean values of cubic L-functions over function fields

Hybrid Euler-Hadamard product for quadratic Dirichlet L-functions in function fields

The fourth moment of quadratic Dirichlet L--functions over function fields

Zeros of quadratic Dirichlet L-functions in the hyperelliptic ensemble

The second and third moment of L(21​,χ) in the hyperelliptic ensemble

Improving the error term in the mean value of L(21​,χ) in the hyperelliptic ensemble

Simultaneous non-vanishing of Dirichlet $L$ --functions, II: Weighted central limit theorem

Simultaneous nonvanishing of Dirichlet $L$ -functions in Galois orbits

Nonvanishing of $L$ --functions associated to fixed order characters over function fields

Power-saving error terms for the number of $D_{4}$ -quartic extensions over a number field ordered by discriminant

Negative moments of $L$ -functions with small shifts over function fields

The Ratios Conjecture and upper bounds for negative moments of $L$ -functions over function fields

Non-vanishing for cubic $L$ --functions

Type-I contributions to the one and two level densities of quadratic Dirichlet $L$ --functions over function fields

Moments of Dirichlet $L$ -functions with prime conductors over function fields

Hybrid Euler-Hadamard product for quadratic Dirichlet $L$ -functions in function fields

The fourth moment of quadratic Dirichlet $L$ --functions over function fields

Zeros of quadratic Dirichlet $L$ -functions in the hyperelliptic ensemble

The second and third moment of $L (\frac{1}{2}, χ)$ in the hyperelliptic ensemble

Improving the error term in the mean value of $L (\frac{1}{2}, χ)$ in the hyperelliptic ensemble