Abstract
In this paper we construct an infinite family of paramodular forms of weight 2 2 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 most important infinite series of theta blocks of weight 2 2 and q q -order 1 1 . We also consider some applications of this result.
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