English

Jacquet-Langlands correspondence for non-Eichler orders

Number Theory 2025-09-04 v1

Abstract

In this note, we give a concrete realization of the Jacquet-Langlands correspondence for non-Eichler orders of indefinite quaternion algebras defined over Q\mathbb Q. To be more precise, we consider a special type of index-two suborder of the Eichler order of level NN in the quaternion algebra with an even discriminant DD.

Cite

@article{arxiv.2509.02985,
  title  = {Jacquet-Langlands correspondence for non-Eichler orders},
  author = {Fang-Ting Tu and Yifan Yang},
  journal= {arXiv preprint arXiv:2509.02985},
  year   = {2025}
}
R2 v1 2026-07-01T05:18:40.454Z