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    Title      l  Modularity of Galois Traces of Class Invariants
    Author   l  Daeyeol Jeon, Soon-Yi Kang and Chang Heon Kim
    Date   l  2010-08-18
    Category   l  ASARC-Preprint-10-04
    Download    l 1282103258_0.470625.pdf  
Abstract. Zagier showed that the Galois traces of the values of j-invariant at CM points are
Fourier coecients of a weakly holomorphic modular form of weight 3=2 and Bruinier-Funke
expanded his result to the sums of the values of arbitrary modular functions at Heegner points.
In this paper, we identify the Galois traces of real-valued class invariants with modular traces of
the values of certain modular functions at Heegner points so that they are Fourier coefficients
of weight 3=2 weakly holomorphic modular forms.

Keyword

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