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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.04371 |
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| _version_ | 1866910592279773184 |
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| author | Dunn, Francis |
| author_facet | Dunn, Francis |
| contents | We construct Rankin-Cohen type differential operators on Hermitian modular forms of signature $(n,n)$. The bilinear differential operators given here specialize to the original Rankin-Cohen operators in the case $n=1$, and more generally satisfy some analogous properties, including uniqueness. Our approach builds on previous work by Eholzer-Ibukiyama in the case of Siegel modular forms, together with results of Kashiwara-Vergne on the representation theory of unitary groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_04371 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rankin--Cohen Type Differential Operators on Hermitian Modular Forms Dunn, Francis Number Theory We construct Rankin-Cohen type differential operators on Hermitian modular forms of signature $(n,n)$. The bilinear differential operators given here specialize to the original Rankin-Cohen operators in the case $n=1$, and more generally satisfy some analogous properties, including uniqueness. Our approach builds on previous work by Eholzer-Ibukiyama in the case of Siegel modular forms, together with results of Kashiwara-Vergne on the representation theory of unitary groups. |
| title | Rankin--Cohen Type Differential Operators on Hermitian Modular Forms |
| topic | Number Theory |
| url | https://arxiv.org/abs/2404.04371 |