Borcherds products of half-integral weight

2020/06/30 by Haowu Wang, Brandon Williams, Wang, Haowu +1
Mathematics · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.2007.00055

5 pages

arxiv created 2020/06/30 · openalex publication_date 2020/06/30 · arxiv updated 2020/07/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a necessary and sufficient criterion for the existence of Borcherds products of half-integral weight associated to even lattices that split two hyperbolic planes. In particular we prove that half-integral weight Borcherds products exist for lattices of arbitrary rank.

Citations

• Automorphic forms onO s +2,2(R) and infinite products
• The classification of 2-reflective modular forms

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