Theta block conjecture for Siegel paramodular forms
Number Theory
2019-10-22 v1
Abstract
The theta-block conjecture proposed by Gritsenko--Poor--Yuen in 2013 characterizes Siegel paramodular forms which are simultaneously Borcherds products and additive Jacobi lifts. In this paper, we prove this conjecture for two new infinite series of theta blocks of weights 2 and 3. The proof is based on Scheithauer's classification of reflective modular forms of singular weight.
Cite
@article{arxiv.1910.08782,
title = {Theta block conjecture for Siegel paramodular forms},
author = {Haowu Wang},
journal= {arXiv preprint arXiv:1910.08782},
year = {2019}
}
Comments
16 pages, comments are welcome!