In this paper we prove a function field version of a theorem by Rudnick and Soundararajan about lower bounds for moments of quadratic Dirichlet L-functions. We establish lower bounds for the moments of quadratic Dirichlet L-functions associated to hyperelliptic curves of genus g over a fixed finite field F q in the large genus g limit.
['Julio Andrade']
Rudnick and Soundararajan's theorem for function fields