Toric modular forms of higher weight

Lev A. Borisov; Paul E. Gunnells

Toric modular forms of higher weight

Number Theory 2007-05-23 v1

Authors: Lev A. Borisov , Paul E. Gunnells

Abstract

In two previous papers we used the geometry of complete polyhedral fans to construct a subring $\TTT (l)$ of the modular forms on $\Gamma_{1} (l)$ , 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.

Keywords

modular forms

Cite

@article{arxiv.math/0203242,
  title  = {Toric modular forms of higher weight},
  author = {Lev A. Borisov and Paul E. Gunnells},
  journal= {arXiv preprint arXiv:math/0203242},
  year   = {2007}
}

Comments

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