# Moments of derivatives of quadratic Dirichlet L-functions with prime conductor

## TL;DR

This paper calculates a formula for a specific mathematical property of quadratic Dirichlet L-functions in a function field setting.

## Contribution

The paper provides an asymptotic formula for mixed second moments of derivatives of quadratic Dirichlet L-functions with prime conductor.

## Key findings

- An asymptotic formula is derived for mixed second moments of derivatives of quadratic Dirichlet L-functions.
- The computation is done in the function field setting with monic, irreducible polynomials.
- The results apply to the μ-th and ν-th derivatives of these L-functions.

## Abstract

We compute an asymptotic formula for the mixed second moment of the \documentclass[12pt]{minimal}
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\begin{document}$$\mu $$\end{document}μ-th and \documentclass[12pt]{minimal}
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\begin{document}$$\nu $$\end{document}ν-th derivatives of quadratic Dirichlet L-functions over monic, irreducible polynomials in the function field setting.