Jacquet-Langlands correspondence for non-Eichler orders
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914018794405888 |
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| author | Tu, Fang-Ting Yang, Yifan |
| author_facet | Tu, Fang-Ting Yang, Yifan |
| contents | In this note, we give a concrete realization of the Jacquet-Langlands correspondence for non-Eichler orders of indefinite quaternion algebras defined over $\mathbb Q$. To be more precise, we consider a special type of index-two suborder of the Eichler order of level $N$ in the quaternion algebra with an even discriminant $D$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_02985 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Jacquet-Langlands correspondence for non-Eichler orders Tu, Fang-Ting Yang, Yifan Number Theory 11F12, 11G18 In this note, we give a concrete realization of the Jacquet-Langlands correspondence for non-Eichler orders of indefinite quaternion algebras defined over $\mathbb Q$. To be more precise, we consider a special type of index-two suborder of the Eichler order of level $N$ in the quaternion algebra with an even discriminant $D$. |
| title | Jacquet-Langlands correspondence for non-Eichler orders |
| topic | Number Theory 11F12, 11G18 |
| url | https://arxiv.org/abs/2509.02985 |