On mod $p$ singular modular forms II
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866908761450348544 |
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| author | Boecherer, Siegfried Kikuta, Toshiyuki |
| author_facet | Boecherer, Siegfried Kikuta, Toshiyuki |
| contents | We generalize the notion of mod $p^m$ singular Siegel modular forms of $p$-rank $r$
to the vector-valued case and we show that also in this case a congruence mod $(p-1)p^{m-1}$
between the scalar weight and the $p$-rank must hold. In some sense our proof is even simpler than the one we gave previously in the scaler valued case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_08291 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On mod $p$ singular modular forms II Boecherer, Siegfried Kikuta, Toshiyuki Number Theory 11F33, 11F46 We generalize the notion of mod $p^m$ singular Siegel modular forms of $p$-rank $r$ to the vector-valued case and we show that also in this case a congruence mod $(p-1)p^{m-1}$ between the scalar weight and the $p$-rank must hold. In some sense our proof is even simpler than the one we gave previously in the scaler valued case. |
| title | On mod $p$ singular modular forms II |
| topic | Number Theory 11F33, 11F46 |
| url | https://arxiv.org/abs/2601.08291 |