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arXiv · 2408.02880

Upper bounds for shifted moments of quadratic Dirichlet $L$-functions over function fields

Peng Gao·Liangyi Zhao
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Abstract

We establish sharp upper bounds on shifted moments of quadratic Dirichlet $L$-functions over function fields. As an application, we prove some bounds for moments of quadratic Dirichlet character sums over function fields.

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Peng Gao, Liangyi Zhao. 2024-08-06. Upper bounds for shifted moments of quadratic Dirichlet $L$-functions over function fields. https://arxiv.org/abs/2408.02880

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