8 citations · 18 across the 7 of their papers we have counts for
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math.NT2003★ 8 cited
Borcherds products and arithmetic intersection theory on Hilbert modular surfaces
Jan H. Bruinier, Jose I. Burgos Gil, Ulf Kuehn
We prove an arithmetic version of a theorem of Hirzebruch and Zagier saying that Hirzebruch-Zagier divisors on a Hilbert modular surface are the coefficients of an elliptic modular…
math.NT2003
On Borcherds products associated with lattices of prime discriminant
Jan H. Bruinier, M. 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…
math.NT2003
Two applications of the curve lemma for orthogonal groups
Jan H. Bruinier
We show (under some hypothesis in small dimensions) that the analytic degree of the divisor of a modular form on the orthogonal group O(2,p) is determined by its weight. Moreover,…