Joint extreme values of Dirichlet (L)-functions and their logarithmic derivatives

TL;DR

This paper investigates the simultaneous extreme values of Dirichlet L-functions and their derivatives using the resonance method, extending prior research in the field.

Contribution

It introduces a novel application of the resonance method to jointly analyze extreme values of Dirichlet L-functions and their derivatives.

Findings

Established joint extreme value bounds for Dirichlet L-functions and derivatives.

Extended previous results by Aistleitner et al. (2019) and Yang (2023).

Demonstrated the effectiveness of the resonance method in this context.

Abstract

In this paper, we establish joint extreme values of Dirichlet (L)-functions and their logarithmic derivatives using the resonance method. Our results extend previous work of Aistleitner et al. (2019) and Yang (2023).