English

Hyperelliptic Shimura curves and $L$-functions of central vanishing order at least 3

Number Theory 2025-09-26 v2

Abstract

We use hyperelliptic Shimura curves to find triple product LL-functions of Hilbert newforms with central vanishing orders proved to be at least 3.

Keywords

Cite

@article{arxiv.2509.06175,
  title  = {Hyperelliptic Shimura curves and $L$-functions of central vanishing order at least 3},
  author = {Congling Qiu},
  journal= {arXiv preprint arXiv:2509.06175},
  year   = {2025}
}

Comments

Correct a mistake, add a section about $L$-functions of central vanishing order at least 3