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.
The first author thanks the Number Theory Foundation for their generous support.
In memory of Robert A. Rankin
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Bruinier, J.H., Bundschuh, M. (2003). On Borcherds Products Associated with Lattices of Prime Discriminant. In: Berndt, B., Ono, K. (eds) Number Theory and Modular Forms. Developments in Mathematics, vol 10. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-6044-6_5
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DOI: https://doi.org/10.1007/978-1-4757-6044-6_5
Publisher Name: Springer, Boston, MA
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