Faculty Publication: Associate Professor of Mathematics Djordje Milićević
"Twelfth Moment of Dirichlet L-Functions to Prime Power Moduli"
Authors: Milićević, Djordje; White, Daniel
Source: Annali Della Scoula Normale Superiore Di Pisa-Classe Di Scienze, Volume 22, Issue 4, Pages 1879-1898, Published 2021
Publication Type: Journal Article
Abstract: 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.