The asymptotic distribution of traces of Maass–Poincaré series |
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| Authors: | Amanda Folsom Riad Masri |
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| Institution: | aDepartment of Mathematics, Yale University, New Haven, CT 06520, United States;bDepartment of Mathematics, Texas A&M University, College Station, TX 77843, United States |
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| Abstract: | 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 (1998) 2], Zagier (2002) 31], and Bringmann and Ono (2007) 4], these traces are Fourier coefficients of half-integral weight weakly holomorphic modular forms and Maass forms. |
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| Keywords: | Asymptotic distribution CM points Maass&ndash Poincaré series Traces Fourier coefficients |
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