Non-vanishing mod $p$ of theta lifts for (O_{2n+1},Mp_{4n})
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866908491146330112 |
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| author | Zhang, Xiaoyu |
| author_facet | Zhang, Xiaoyu |
| contents | We establish the non-vanishing mod $p$ of certain global theta lifts from a compact orthogonal group $\mathrm{O}_{2n+1}$ over $\mathbb{Q}$ to a metaplectic group $\mathrm{Mp}_{4n}$ over $\mathbb{Q}$ under mild conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_05359 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Non-vanishing mod $p$ of theta lifts for (O_{2n+1},Mp_{4n}) Zhang, Xiaoyu Number Theory 11F06, 11F27, 11F46 We establish the non-vanishing mod $p$ of certain global theta lifts from a compact orthogonal group $\mathrm{O}_{2n+1}$ over $\mathbb{Q}$ to a metaplectic group $\mathrm{Mp}_{4n}$ over $\mathbb{Q}$ under mild conditions. |
| title | Non-vanishing mod $p$ of theta lifts for (O_{2n+1},Mp_{4n}) |
| topic | Number Theory 11F06, 11F27, 11F46 |
| url | https://arxiv.org/abs/2203.05359 |