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math.NT2006
Hilbert modular forms and their applications
Jan Hendrik Bruinier
The present notes contain the material of the lectures given by the author at the summer school on ``Modular Forms and their Applications'' at the Sophus Lie Conference Center in t…
math.NT2006
On the injectivity of the Kudla-Millson lift and surjectivity of the Borcherds lift
Jan Hendrik Bruinier, Jens Funke
We consider the Kudla-Millson lift from elliptic modular forms of weight (p+q)/2 to closed q-forms on locally symmetric spaces corresponding to the orthogonal group O(p,q). We stud…