A note on mass equidistribution of holomorphic Siegel modular forms

JOURNAL OF NUMBER THEORY

卷:170

Article

Liu, Sheng-Chi¹ 

[1] Washington State Univ, Dept Math, Pullman, WA 99164 USA

关键词: Mass equidistribution;    Saito-Kurokawa lifting;    Ikeda lifting;   

DOI  :  10.1016/j.jnt.2016.06.021

来源: Elsevier

【 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.

【 授权许可】

Free