2019/10/19 by Haowu Wang, Wang, Haowu
Mathematics · #11F30 #11F46 #11F50 #11F55 #14K25 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.1910.08782
openalex publication_date 2019/10/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.