The fourth moment of Dirichlet L-functions along the critical line

作者：Wu, Xiaosheng^*

来源：Forum Mathematicum, 2023, 35(5): 1347-1371.

DOI：10.1515/forum-2022-0309

• Fourth moment
• divisor problem
• power saving

For a positive integer q =? 2 (mod 4), this work considers the fourth moment of Dirichlet L-functions averaged over both t ? [0, T] and primitive characters modulo q. An asymptotic formula with a power saving from both the q-aspect and the t-aspect in the error term is obtained.