Asymptotic densities of Maass newforms
Asymptotic densities of Maass newforms
复制标题
Maass 新形式的渐近密度
DOI：
10.1016/j.jnt.2004.06.007
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发表时间：
2004
影响因子：
0.7
通讯作者：
Morten S. Risager
中科院分区：
文献类型：
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作者：
Morten S. Risager
定义了heke同余群的质量新形式的计数函数，并计算了该计数函数的三个主要项。然后给出了该展开式与计算紧致曲面相关的特征值具有相同形状的充分必要条件。我们把这个结果与经典的雅克-朗兰对应联系起来。
We define the counting function for Maass newforms of Hecke congruence groups and calculate the three main terms of this counting function. We then give necessary and sufficient conditions for this expansion to have the same shape as if it were counting eigenvalues related to cocompact surfaces. We relate the result to classical instances of the Jacquet–Langlands correspondence.