The fourth moment of quadratic Dirichlet \(L\)-functions

We study the fourth moment of quadratic Dirichlet \(L\)-functions at \(s= \frac{1}{2}\). 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...

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Bibliographic Details
Published inarXiv.org
Main Author Shen, Quanli
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 28.07.2020
Subjects
Dirichlet problem
Lower bounds
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Summary:We study the fourth moment of quadratic Dirichlet \(L\)-functions at \(s= \frac{1}{2}\). 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].
ISSN:2331-8422