Determination of Hilbert modular forms using squarefree coefficients
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917845580906496 |
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| author | Agnihotri, Rishabh Krishnamoorthy, Krishnarjun |
| author_facet | Agnihotri, Rishabh Krishnamoorthy, Krishnarjun |
| contents | Let $F$ (over $\mathbb{Q}$) be a totally real number field of narrow class number $1$. We generalize a result of Kohnen on the determination of half integral weight modular forms by their Fourier coefficients supported on squarefree (algebraic) integers. We also give a soft proof that infinitely many Fourier coefficients supported on squarefree integers are non-vanishing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_16012 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Determination of Hilbert modular forms using squarefree coefficients Agnihotri, Rishabh Krishnamoorthy, Krishnarjun Number Theory 11F41, 11F37, 11F27 Let $F$ (over $\mathbb{Q}$) be a totally real number field of narrow class number $1$. We generalize a result of Kohnen on the determination of half integral weight modular forms by their Fourier coefficients supported on squarefree (algebraic) integers. We also give a soft proof that infinitely many Fourier coefficients supported on squarefree integers are non-vanishing. |
| title | Determination of Hilbert modular forms using squarefree coefficients |
| topic | Number Theory 11F41, 11F37, 11F27 |
| url | https://arxiv.org/abs/2403.16012 |