Congruences between Klingen-Eisenstein series and cusp forms on $\mathrm{U}_{n,n}$
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866910061133037568 |
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| author | Takeda, Nobuki |
| author_facet | Takeda, Nobuki |
| contents | In this paper, we study congruences of Hecke eigenvalues between Hermitian Klingen-Eisenstein series and cusp forms on the unitary group $\mathrm{U}_{n,n}$ defined over the rational number field $\mathbb{Q}$. We also prove the rationality of the space of Hermitian automorphic forms and the integrality of their Hecke eigenvalues. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_08626 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Congruences between Klingen-Eisenstein series and cusp forms on $\mathrm{U}_{n,n}$ Takeda, Nobuki Number Theory 11F33, 11F55, 11F30, 11F67 In this paper, we study congruences of Hecke eigenvalues between Hermitian Klingen-Eisenstein series and cusp forms on the unitary group $\mathrm{U}_{n,n}$ defined over the rational number field $\mathbb{Q}$. We also prove the rationality of the space of Hermitian automorphic forms and the integrality of their Hecke eigenvalues. |
| title | Congruences between Klingen-Eisenstein series and cusp forms on $\mathrm{U}_{n,n}$ |
| topic | Number Theory 11F33, 11F55, 11F30, 11F67 |
| url | https://arxiv.org/abs/2603.08626 |