论文标题
无穷大的hecke特征形式的小尺度等级
Small scale equidistribution of Hecke eigenforms at infinity
论文作者
论文摘要
我们研究了朝向无穷大的集合中Hecke特征形式的等分。我们表明，在比普朗克尺度的尺度上，它们不等于在特征形式的全密度子序列上，它们比鳞片比量表更粗糙。在一组合适的测试函数上，我们计算出在普朗克量表一半的有趣过渡行为的方差。
We investigate the equidistribution of Hecke eigenforms on sets that are shrinking towards infinity. We show that at scales finer than the Planck scale they do not equidistribute while at scales more coarse than the Planck scale they equidistribute on a full density subsequence of eigenforms. On a suitable set of test functions we compute the variance showing interesting transition behavior at half the Planck scale.
