Shimura lift of Rankin-Cohen brackets of eigenforms and theta series
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929723155677184 |
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| author | Wang, Wei |
| author_facet | Wang, Wei |
| contents | The Shimura lift of a Hekce eigenform multiplied by a theta series is the square of the form. We extend this result by generalizing the product map to the Rankin-Cohen bracket. We prove that the Shimura lift of Rankin-Cohen bracket of an eigenform and a theta series is given by Rankin-Cohen bracket of the eigenform and itself. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_14254 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Shimura lift of Rankin-Cohen brackets of eigenforms and theta series Wang, Wei Number Theory 11F32, 11F37 The Shimura lift of a Hekce eigenform multiplied by a theta series is the square of the form. We extend this result by generalizing the product map to the Rankin-Cohen bracket. We prove that the Shimura lift of Rankin-Cohen bracket of an eigenform and a theta series is given by Rankin-Cohen bracket of the eigenform and itself. |
| title | Shimura lift of Rankin-Cohen brackets of eigenforms and theta series |
| topic | Number Theory 11F32, 11F37 |
| url | https://arxiv.org/abs/2406.14254 |