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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.09109 |
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| _version_ | 1866913652214333440 |
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| author | Johnson-Leung, Jennifer Rupert, Nina |
| author_facet | Johnson-Leung, Jennifer Rupert, Nina |
| contents | Let $E/L$ be a real quadratic extension of number fields. We construct an explicit map from an irreducible cuspidal automorphic representation of $\mathrm{GL}(2,E)$ which contains a Hilbert modular form with $Γ_0$ level to an irreducible automorphic representation of $\mathrm{GSp}(4,L)$ which contains a Siegel paramodular form and exhibit local data which produces a paramodular invariant vector for the local theta lift at every finite place, except when the local extension has wild ramification. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_09109 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An Explicit Theta Lift to Siegel Paramodular Forms Johnson-Leung, Jennifer Rupert, Nina Number Theory 11F46 Let $E/L$ be a real quadratic extension of number fields. We construct an explicit map from an irreducible cuspidal automorphic representation of $\mathrm{GL}(2,E)$ which contains a Hilbert modular form with $Γ_0$ level to an irreducible automorphic representation of $\mathrm{GSp}(4,L)$ which contains a Siegel paramodular form and exhibit local data which produces a paramodular invariant vector for the local theta lift at every finite place, except when the local extension has wild ramification. |
| title | An Explicit Theta Lift to Siegel Paramodular Forms |
| topic | Number Theory 11F46 |
| url | https://arxiv.org/abs/2501.09109 |