The fourth moment of Dirichlet L-functions along the critical line

Xiaosheng Wu

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arXiv · 2004.00504

The fourth moment of Dirichlet L-functions along the critical line

Xiaosheng Wu

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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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Xiaosheng Wu. 2020-03-31. The fourth moment of Dirichlet L-functions along the critical line. https://arxiv.org/abs/2004.00504

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