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Shifted moments of quadratic Dirichlet $L$-functions

Number Theory 2025-11-26 v2

Abstract

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

Keywords

Cite

@article{arxiv.2406.18024,
  title  = {Shifted moments of quadratic Dirichlet $L$-functions},
  author = {Peng Gao and Liangyi Zhao},
  journal= {arXiv preprint arXiv:2406.18024},
  year   = {2025}
}

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19 pages