The asymptotic distribution of traces of Maass–Poincaré series
نویسنده
چکیده
We establish an asymptotic formula with a power savings in the error term for traces of CM values of a family of Maass-Poincaré series which contains the modular j-function as a special case. By work of Borcherds [B], Zagier [Za], and Bringmann and Ono [BO], these traces are Fourier coefficients of half-integral weight weakly holomorphic modular forms and Maass forms.
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