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Lower bounds for negative moments of quadratic Dirichlet $L$-functions

Number Theory 2022-03-15 v1

Abstract

We establish lower bounds for the 2k2k-th moment of families of quadratic Dirichlet LL-functions at the central point for all real k<0k<0, assuming a conjecture of S. Chowla on the non-vanishing of these LL-values.

Keywords

Cite

@article{arxiv.2203.06845,
  title  = {Lower bounds for negative moments of quadratic Dirichlet $L$-functions},
  author = {Peng Gao},
  journal= {arXiv preprint arXiv:2203.06845},
  year   = {2022}
}

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5 pages