论文标题
Maass形式的Hecke特征值的定量分布
The quantitative distribution of Hecke eigenvalues of Maass forms
论文作者
论文摘要
令$ f $为$ sl_2(\ mathbb z)$的归一化Hecke-maass尖缘。本文提供了一些定量结果,内容涉及Hecke特征值的分布$ f $。还给出了$ f $的hecke特征值及其对称的Square sym $^2(f)$的$ω_ {\ pm} $的应用程序。
Let $f$ be a normalized Hecke-Maass cusp form of weight zero for the group $SL_2(\mathbb Z)$. This article presents several quantitative results about the distribution of Hecke eigenvalues of $f$. Applications to the $Ω_{\pm}$-results for the Hecke eigenvalues of $f$ and its symmetric square sym$^2(f)$ are also given.