Automatic convergence for holomorphic modular forms
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Accesso online: | |
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| _version_ | 1866915825710006272 |
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| author | Pollack, Aaron |
| author_facet | Pollack, Aaron |
| contents | We prove an automatic convergence theorem for holomorphic modular forms on tube domains. The argument works in some generality, and covers in particular the case of orthogonal groups, symplectic groups, unitary and quaternion unitary groups, and the exceptional group $E_7$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_00838 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Automatic convergence for holomorphic modular forms Pollack, Aaron Number Theory We prove an automatic convergence theorem for holomorphic modular forms on tube domains. The argument works in some generality, and covers in particular the case of orthogonal groups, symplectic groups, unitary and quaternion unitary groups, and the exceptional group $E_7$. |
| title | Automatic convergence for holomorphic modular forms |
| topic | Number Theory |
| url | https://arxiv.org/abs/2603.00838 |