The fourth moment of quadratic Dirichlet $L$-functions
Number Theory
2020-07-29 v3
Abstract
We study the fourth moment of quadratic Dirichlet -functions at . We show an asymptotic formula under the generalized Riemann hypothesis, and obtain a precise lower bound unconditionally. The proofs of these results follow closely arguments of Soundararajan and Young [19] and Soundararajan [17].
Keywords
Cite
@article{arxiv.1907.01107,
title = {The fourth moment of quadratic Dirichlet $L$-functions},
author = {Quanli Shen},
journal= {arXiv preprint arXiv:1907.01107},
year = {2020}
}
Comments
abstract and introduction substantially revised; typos/mistakes fixed; more detail given; accept by Math. Z