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arXiv · 2406.18024

Shifted moments of quadratic Dirichlet $L$-functions

Peng Gao·Liangyi Zhao
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Abstract

We establish sharp upper bounds for shifted moments of quadratic Dirichlet $L$-function under the generalized Riemann hypothesis. Our result is then used to prove bounds for moments of quadratic Dirichlet character sums.

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Peng Gao, Liangyi Zhao. 2024-06-26. Shifted moments of quadratic Dirichlet $L$-functions. https://doi.org/10.4153/s0008439525000335

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