The Integral Moments and Ratios of Quadratic Dirichlet $L$-Functions over Monic Irreducible Polynomials in ${\mathbb{F}}_q[T]$

Julio Andrade, Hwanyup Jung, Asmaa Shamesaldeen

In this paper we extend to the function field setting the heuristics formerly developed by Conrey, Farmer, Keating, Rubinstein and Snaith, for the integral moments of $L$-functions…