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Article

Theta block conjecture for paramodular forms of weight 2

Gritsenko V., Wang H.

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