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The fourth moment of Dirichlet L-functions along the critical line (2004.00504v7)
Published 31 Mar 2020 in math.NT
Abstract: For a positive integer $q\not\equiv 2 \pmod 4$, this work considers the fourth moment of Dirichlet $L$-functions averaged over both $t\in [0,T]$ and primitive characters to modulus $q$. An asymptotic formula with a power saving from both $q$-aspect and $t$-aspect in the error term is obtained.
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