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| Main Author: | |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2212.05234 |
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| _version_ | 1866908666038321152 |
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| author | Haan, Jaeho |
| author_facet | Haan, Jaeho |
| contents | In this paper, we establish the local converse theorem and the stability of local gamma factors for $\Mp_{2n}$ via the precise local theta correspondence between $\Mp_{2n}$ and $\SO_{2n+1}$ over local fields of characteristic not equal to 2. We also prove the rigidity theorem for irreducible generic cuspidal automorphic representations of $\Mp_{2n}$ over number fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_05234 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The local converse theorem for $Mp_{2n}$ : the generic case Haan, Jaeho Number Theory Representation Theory In this paper, we establish the local converse theorem and the stability of local gamma factors for $\Mp_{2n}$ via the precise local theta correspondence between $\Mp_{2n}$ and $\SO_{2n+1}$ over local fields of characteristic not equal to 2. We also prove the rigidity theorem for irreducible generic cuspidal automorphic representations of $\Mp_{2n}$ over number fields. |
| title | The local converse theorem for $Mp_{2n}$ : the generic case |
| topic | Number Theory Representation Theory |
| url | https://arxiv.org/abs/2212.05234 |