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arXiv · 2508.14534

Shifted moments of cubic and quartic Dirichlet $L$-functions

Peng Gao·Liangyi Zhao
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Abstract

We establish upper bounds for shifted moments of cubic and quartic Dirichlet $L$-functions under the generalized Riemann hypothesis. As an application, we prove bounds for moments of cubic and quartic Dirichlet character sums.

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Peng Gao, Liangyi Zhao. 2025-08-20. Shifted moments of cubic and quartic Dirichlet $L$-functions. https://arxiv.org/abs/2508.14534

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