论文标题
单数模量痕迹的渐近分布
Asymptotic distribution of traces of singular moduli
论文作者
论文摘要
我们确定了单数模量的扭曲痕迹的渐近行为，在$ i \ infty $处的判别和杆的顺序中都具有节能误差项。使用此渐近公式，我们获得了这些轨迹的精确公式，该轨迹涉及类数字和一个有限的总和，涉及在CM点评估的指数函数。
We determine the asymptotic behavior of twisted traces of singular moduli with a power-saving error term in both the discriminant and the order of the pole at $i\infty$. Using this asymptotic formula, we obtain an exact formula for these traces involving the class number and a finite sum involving the exponential function evaluated at CM points.
