A note on mass equidistribution of holomorphic Siegel modular forms

被引：1
|
作者：
Liu, Sheng-Chi [1 ]
机构：
[1] Washington State Univ, Dept Math, Pullman, WA 99164 USA
来源：
JOURNAL OF NUMBER THEORY | 2017年 / 170卷
关键词：
Mass equidistribution; Saito-Kurokawa lifting; Ikeda lifting; DIRICHLET SERIES; CUSP FORMS;
D O I：
10.1016/j.jnt.2016.06.021
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let F-f is an element of S-k(SP2n(Z)) be the Ikeda lifting of a Hecke eigenform f is an element of S2k-n(SL2(Z)) with the normalization < F-f, F-f > = 1. Let E(Z; s) denote the Klingen Eisenstein series. In this paper we verify that lim(k ->infinity) integral E(Z; n/2 + it)vertical bar F-f (Z)vertical bar(2) (det Y)(k)d mu = 0 Sp(2n)(Z)\S-n which is predicted by the mass equidistribution conjecture of Cogdell and Luo [CL]. (C) 2016 Elsevier Inc. All rights reserved.
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页码：185 / 190
页数：6
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