Some Omega results for Dirichlet $L$-functions

TL;DR

This paper uses the resonance method to establish Omega results for Dirichlet L-functions, extending previous findings and contributing to understanding their extreme value behavior.

Contribution

It introduces new Omega results for Dirichlet L-functions using the resonance method, building upon earlier work from 2024.

Findings

Established new Omega bounds for Dirichlet L-functions.

Extended previous results in the field.

Contributed to the understanding of L-function extremal values.

Abstract

Motivated by the first author's earlier work in 2024, we use the resonance method to establish some Omega results for Dirichlet $L$-functions, extending the previous results.