On Borcherds products associated with lattices of prime discriminant

2003/09/10 by Jan Hendrik Bruinier, Jan H. Bruinier, Bruinier, Jan H. +3
Mathematics · #11F41 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT) #math.NT #msc:11F41

paper · pdf · doi:10.48550/arxiv.math/0309178

To appear in Ramanujan J

arxiv created 2003/09/10 · openalex publication_date 2003/09/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that certain spaces of vector valued modular forms are isomorphic to spaces of scalar valued modular forms whose Fourier coefficients are supported on suitable progressions. As an application we give a very explicit description of Borcherds products on Hilbert modular surfaces.

Citations

• On modular forms associated with indefinite quadratic forms of signature (2,n?2)

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