Theta block conjecture for paramodular forms of weight 2
Number Theory
2019-10-03 v2
Abstract
In this paper we construct an infinite family of paramodular forms of weight which are simultaneously Borcherds products and additive Jacobi lifts. This proves an important part of the theta-block conjecture of Gritsenko--Poor--Yuen (2013) related to the only known infinite series of theta-blocks of weight and -order . We also consider some applications of this result.
Cite
@article{arxiv.1812.08698,
title = {Theta block conjecture for paramodular forms of weight 2},
author = {Valery Gritsenko and Haowu Wang},
journal= {arXiv preprint arXiv:1812.08698},
year = {2019}
}
Comments
Minor revision, accepted for publication in Proc. Amer. Math. Soc