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math.NT2004★ 3 cited
Traces of CM values of modular functions
Jan Hendrik Bruinier, Jens Funke
Zagier proved that the traces of singular moduli, i.e., the sums of the values of the classical j-invariant over quadratic irrationalities, are the Fourier coefficients of a modula…
math.NT2004★ 5 cited
Infinite products in number theory and geometry
Jan Hendrik Bruinier
We give an introduction to the theory of Borcherds products and to some number theoretic and geometric applications. In particular, we discuss how the theory can be used to study t…