Patrick Meisner

activity

20152023

most citedOne Level Density for Cubic Galois Number Fields

6 citations · 15 across the 12 of their papers we have counts for

collaborators

13 papers

math.NT2023

Expected Values of $L$ -functions Away from the Central Point

Chantal David, Patrick Meisner

We compute the expected value of Dirichlet $L$ -functions defined over $F_{q} [T]$ attached to cubic characters evaluated at an arbitrary $s \in (0, 1)$ . We find a transition t…

math.NT2021

Low-lying zeros in families of elliptic curve $L$ -functions over function fields

Patrick Meisner, Anders Södergren

We investigate the low-lying zeros in families of $L$ -functions attached to quadratic and cubic twists of elliptic curves defined over $F_{q} (T)$ . In particular, we present…

math.NT2021

Moments of Traces of Frobenius of Higher Order Dirichlet $L$ -functions over $F_{q} [T]$

Patrick Meisner

We study the moments of $\mbox{Tr}(Θ_χ)$ as $χ$ runs over Dirichlet characters defined over $F_{q} [T]$ of fixed order $r$ . In particular, we show that after an appropriate n…

math.NT2020★ 3 cited

Lower Order Terms for Expected Value of Traces of Frobenius of a Family of Cyclic Covers of $P_{F_{q}}^{1}$ and One-Level Densities

Patrick Meisner

We consider the expected value of $\mbox{Tr}(Θ_C^n)$ where $C$ runs over a thin family of $r$ -cyclic covers of $P_{F_{q}}^{1}$ for any $r$ . We obtain many lower order…

math.NT2018

On Incidences of $φ$ and $σ$ in the Function Field Setting

Patrick Meisner

Erdős first conjectured that infinitely often we have $φ (n) = σ (m)$ , where $φ$ is the Euler totient function and $σ$ is the sum of divisor function. This was proven true by Ford, L…

math.NT2018★ 4 cited

Erdős' Multiplication Table Problem for Function Fields and Symmetric Groups

Patrick Meisner

Erdős first showed that the number of positive integers up to $x$ which can be written as a product of two number less than $x$ has zero density. Ford then found the correct…

Expected Values of L-functions Away from the Central Point

Low-lying zeros in families of elliptic curve L-functions over function fields

Moments of Traces of Frobenius of Higher Order Dirichlet L-functions over Fq​[T]

Lower Order Terms for Expected Value of Traces of Frobenius of a Family of Cyclic Covers of PFq​1​ and One-Level Densities

On Incidences of φ and σ in the Function Field Setting

Erdős' Multiplication Table Problem for Function Fields and Symmetric Groups

Expected Values of $L$ -functions Away from the Central Point

Low-lying zeros in families of elliptic curve $L$ -functions over function fields

Moments of Traces of Frobenius of Higher Order Dirichlet $L$ -functions over $F_{q} [T]$

Lower Order Terms for Expected Value of Traces of Frobenius of a Family of Cyclic Covers of $P_{F_{q}}^{1}$ and One-Level Densities

On Incidences of $φ$ and $σ$ in the Function Field Setting