Hybrid sup-norm bounds for Hecke-Maass cusp forms

被引：25

作者：

Templier, Nicolas ^{[1
]}

机构：

[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

来源：

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2015年 / 17卷 / 08期

基金：

美国国家科学基金会;

关键词：

Automorphic forms; trace formula; amplification; diophantine approximation; EIGENFUNCTIONS;

D O I：

10.4171/JEMS/550

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let f be a Hecke-Maass cusp form of eigenvalue lambda and square-free level N. Normalize the hyperbolic measure so that vol (Y-0(N)) = 1 and the form f such that parallel to f parallel to(2) = 1. It is shown that parallel to f parallel to(infinity) <<epsilon lambda(5/24+epsilon) N1/3+epsilon for all epsilon > 0. This generalizes simultaneously the current best bounds in the eigenvalue and level aspects.

引用

页码：2069 / 2082

页数：14

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