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First Moments of Some Hecke $L$-functions of Prime Moduli

Number Theory 2022-07-21 v1

Abstract

We study the first moments of central values of Hecke LL-functions associated with quadratic, cubic and quartic symbols to prime moduli. This also enables us to obtain results on first moments of central values of certain families of cubic and quartic Dirichlet LL-functions of prime moduli.

Keywords

Cite

@article{arxiv.2005.01907,
  title  = {First Moments of Some Hecke $L$-functions of Prime Moduli},
  author = {Peng Gao and Liangyi Zhao},
  journal= {arXiv preprint arXiv:2005.01907},
  year   = {2022}
}

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11 pages