Twelfth moment of Dirichlet L-functions to prime power moduli

Djordje Milicevic, Daniel White

Published 2019-08-13Version 1

We prove the q-aspect analogue of Heath-Brown's result on the twelfth power moment of the Riemann zeta function for Dirichlet L-functions to odd prime power moduli. Our results rely on the p-adic method of stationary phase for sums of products and complement Nunes' bound for smooth square-free moduli.