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Lower bounds for shifted moments of Dirichlet $L$-functions of fixed modulus

Number Theory 2025-04-30 v2

Abstract

We establish sharp lower bounds for shifted (with two shifts) moments of Dirichlet LL-function of fixed modulus under the generalized Riemann hypothesis.

Keywords

Cite

@article{arxiv.2411.03692,
  title  = {Lower bounds for shifted moments of Dirichlet $L$-functions of fixed modulus},
  author = {Peng Gao and Liangyi Zhao},
  journal= {arXiv preprint arXiv:2411.03692},
  year   = {2025}
}

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19 pages