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The fourth moment of quadratic Dirichlet $L$-functions
Published 2 Jul 2019 in math.NT | (1907.01107v3)
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].
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