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arXiv · 2202.07814

Moments of quadratic Dirichlet $L$-functions over Function Fields

Peng Gao·Liangyi Zhao
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Abstract

In this paper, we establish the expected order of magnitude of the $k$th-moment of quadratic Dirichlet $L$-functions associated to hyperelliptic curves of genus $g$ as well as of prime moduli over a fixed finite field $\mathbb{F}_{q}$ for all real $k \geq 0$.

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Peng Gao, Liangyi Zhao. 2022-02-16. Moments of quadratic Dirichlet $L$-functions over Function Fields. https://doi.org/10.1016/j.ffa.2022.102113

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