On the Divisibility Properties of the Fourier Coefficients of Meromorphic Hilbert Modular Forms
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912100398399488 |
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| author | Depouilly, Baptiste |
| author_facet | Depouilly, Baptiste |
| contents | Following Zagier, this work studies the rationality and divisibility of Fourier coefficients of meromorphic Hilbert modular forms associated with real quadratic fields, using theta lifts and weak Maass forms. We establish conditions where these coefficients are rational with bounded denominators and demonstrate divisibility properties under suitable linear combinations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_00701 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Divisibility Properties of the Fourier Coefficients of Meromorphic Hilbert Modular Forms Depouilly, Baptiste Number Theory Following Zagier, this work studies the rationality and divisibility of Fourier coefficients of meromorphic Hilbert modular forms associated with real quadratic fields, using theta lifts and weak Maass forms. We establish conditions where these coefficients are rational with bounded denominators and demonstrate divisibility properties under suitable linear combinations. |
| title | On the Divisibility Properties of the Fourier Coefficients of Meromorphic Hilbert Modular Forms |
| topic | Number Theory |
| url | https://arxiv.org/abs/2411.00701 |