Barnabás Szabó

collaborators

2 papers

math.NT2024

A lower bound on high moments of character sums

Barnabás Szabó

For any real $k \geq 2$ and large prime $q$ , we prove a lower bound on the $2 k$ -th moment of the Dirichlet character sum \begin{equation*} \frac{1}{ϕ(q)} \sum_{\substack{χ\text{ mod…

math.NT2023

High moments of theta functions and character sums

Barnabás Szabó

Assuming the Generalised Riemann Hypothesis, we prove a sharp upper bound on moments of shifted Dirichlet $L$ -functions. We use this to obtain conditional upper bounds on high mome…