Test Schwartz functions at $p$ for theta lifts of Hida families
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866917040613228544 |
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| author | Liu, Zheng |
| author_facet | Liu, Zheng |
| contents | We construct Hida families of theta lifts from definite orthogonal and unitary groups. A major ingredient of the construction is the choice of test Schwartz functions at places dividing $p$. We select a special type of Schwartz functions endowed with the equivariance property for the action of $\mathbb{U}_p$-operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_21644 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Test Schwartz functions at $p$ for theta lifts of Hida families Liu, Zheng Number Theory We construct Hida families of theta lifts from definite orthogonal and unitary groups. A major ingredient of the construction is the choice of test Schwartz functions at places dividing $p$. We select a special type of Schwartz functions endowed with the equivariance property for the action of $\mathbb{U}_p$-operators. |
| title | Test Schwartz functions at $p$ for theta lifts of Hida families |
| topic | Number Theory |
| url | https://arxiv.org/abs/2510.21644 |