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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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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Abstract 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].
AbstractList 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].
Author Shen, Quanli
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Snippet We study the fourth moment of quadratic Dirichlet \(L\)-functions at \(s= \frac{1}{2}\). We show an asymptotic formula under the generalized Riemann...
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Lower bounds
Title The fourth moment of quadratic Dirichlet \(L\)-functions
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