Reflective modular forms on lattices of prime level
Number Theory
2021-12-22 v2
Abstract
One of the main open problems in the theory of automorphic products is to classify reflective modular forms. In [Sch06] Scheithauer classified strongly reflective modular forms of singular weight on lattices of prime level. In this paper we classify symmetric reflective modular forms on lattices of prime level. This yields a full classification of lattices of prime level which have reflective modular forms. We also present some applications.
Cite
@article{arxiv.1912.11220,
title = {Reflective modular forms on lattices of prime level},
author = {Haowu Wang},
journal= {arXiv preprint arXiv:1912.11220},
year = {2021}
}
Comments
Final version, to appear in Trans. Amer. Math. Soc