Matrix-valued Hilbert modular forms
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916751598419968 |
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| author | Da Ronche, Enrico |
| author_facet | Da Ronche, Enrico |
| contents | In this paper we generalize the notion of logarithmic vector-valued modular form in order to give a general definition of matrix-valued Hilbert modular forms. We prove that they admit unique polynomial Fourier expansions and we build examples in some particular cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_16423 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Matrix-valued Hilbert modular forms Da Ronche, Enrico Number Theory 11F03 In this paper we generalize the notion of logarithmic vector-valued modular form in order to give a general definition of matrix-valued Hilbert modular forms. We prove that they admit unique polynomial Fourier expansions and we build examples in some particular cases. |
| title | Matrix-valued Hilbert modular forms |
| topic | Number Theory 11F03 |
| url | https://arxiv.org/abs/2505.16423 |