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The fourth moment of quadratic Dirichlet $L$-functions

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 نشر من قبل Quanli Shen
 تاريخ النشر 2019
  مجال البحث
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 تأليف Quanli Shen




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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].

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