Toric modular forms of higher weight

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In two previous papers we used the geometry of complete polyhedral fans to construct a subring $\TTT (l)$ of the modular forms on $Γ_{1} (l)$, and showed that for weight two the cuspidal part of $\TTT (l)$ coincides with the space of cusp forms of analytic rank zero. In this paper we show that in weights greater than two, the cuspidal part of $\TTT (l)$ coincides with the space of all cusp forms.
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Number Theory, 11F11, 11F67

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http://salesiana.dossiersoluciones.com/handle/123456789/63641

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0203242
 http://arxiv.org/abs/math/0203242

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arXiv