Toric modular forms of higher weight

2002/03/22 by Lev A. Borisov, Borisov, Lev A., Paul E. Gunnells +1 · 1 citation
Mathematics · #11F11 #11F67 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11F11 #msc:11F67

paper · pdf · doi:10.48550/arxiv.math/0203242

4 figures

arxiv created 2002/03/22 · arxiv updated 2009/11/30

Abstract

In two previous papers we used the geometry of complete polyhedral fans to construct a subring \TTT (l) of the modular forms on Γ₁ (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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