Toric modular forms of higher weight
Lev A. Borisov, Paul E. Gunnells
Abstract
In two previous papers we used the geometry of complete polyhedral fans to construct a subring (l) of the modular forms on Γ1 (l), and showed that for weight two the cuspidal part of (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 (l) coincides with the space of all cusp forms.
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