The asymptotic distribution of traces of Maass-Poincaré series
The asymptotic distribution of traces of Maass-Poincaré series
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Maass-Poincaré级数迹的渐近分布
DOI：
10.1016/j.aim.2010.11.001
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发表时间：
2011
影响因子：
1.7
通讯作者：
R. Masri
中科院分区：
文献类型：
--
作者：
A. Folsom;R. Masri
对于一类包含模j函数的maass - poincar<e:1>级数的CM值轨迹，我们建立了一个误差项节省功率的渐近公式。通过Borcherds (1998) [2], Zagier(2002)[31]，以及Bringmann和Ono(2007)[4]的工作，这些迹线是半积分权弱全纯模形式和质量形式的傅里叶系数。
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.