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Extreme central values of quadratic Dirichlet $L$-functions with prime conductors

Number Theory 2025-07-09 v2
Authors: Mingyue Fan , Shenghao Hua , Sizhe Xie
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Abstract

In this paper we prove a lower bound result for extremely large values of L(12,χp)L(\frac{1}{2},\chi_p) with prime numbers p≡1(mod8)p\equiv 1\pmod 8.

Keywords

quadratic dirichlet l-functions central values prime conductors lower bound

Cite

@article{arxiv.2306.16886,
  title  = {Extreme central values of quadratic Dirichlet $L$-functions with prime conductors},
  author = {Mingyue Fan and Shenghao Hua and Sizhe Xie},
  journal= {arXiv preprint arXiv:2306.16886},
  year   = {2025}
}

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