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math.NT2005
Reduction of CM elliptic curves and modular function congruences
Noam D. Elkies, Ken Ono, Tonghai Yang
We study congruences of the form F(j(z)) | U(p) = G(j(z)) mod p, where U(p) is the p-th Hecke operator, j is the basic modular invariant 1/q+744+196884q+... for SL2(Z), and F,G are…
math.NT2005★ 1 cited
Twisted Borcherds products on Hilbert modular surfaces and their CM values
Jan Hendrik Bruinier, Tonghai Yang
We construct a natural family of rational functions on a Hilbert modular surface from the classical -invariant and its Hecke translates. These functions are obtained…