Distinguishing Hermitian cusp forms of degree 2 by a certain subset of all Fourier coefficients
We prove that Hermitian cusp forms of weight k for the Hermitian modular group of degree 2 are determined by their Fourier coefficients indexed by matrices whose determinants are essentially square-free. Moreover, we give a quantitative version of the above result. This is a consequence of the corre...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:200754 |
| Acceso en línea: | https://ddd.uab.cat/record/200754 https://dx.doi.org/urn:doi:10.5565/PUBLMAT6311911 |
| Access Level: | acceso abierto |
| Palabra clave: | Hermitian modular forms Square free Fourier coefficients Hermitian jacobi forms Eichler-zagier maps |
| Sumario: | We prove that Hermitian cusp forms of weight k for the Hermitian modular group of degree 2 are determined by their Fourier coefficients indexed by matrices whose determinants are essentially square-free. Moreover, we give a quantitative version of the above result. This is a consequence of the corresponding results for integral weight elliptic cusp forms, which are also treated in this paper. |
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