The Ramanujan Journal

, Volume 7, Issue 1–3, pp 49–61

On Borcherds Products Associated with Lattices of Prime Discriminant

  • Jan Hendrik Bruinier
  • Michael Bundschuh


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.

Weil representation Borcherds product Hilbert modular surface 


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Copyright information

© Kluwer Academic Publishers 2003

Authors and Affiliations

  • Jan Hendrik Bruinier
    • 1
  • Michael Bundschuh
    • 2
  1. 1.Department of MathematicsUniversity of Wisconsin-MadisonMadison
  2. 2.Mathematisches InstitutUniverstität HeidelbergHeidelbergGermany

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