Hecke duality of Ikeda lifts

被引：1

作者：

Garrett, Paul ^{[1
]}

Heim, Bernhard ^{[2
]}

机构：

[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

[2] German Univ Technol Oman, Muscat, Oman

来源：

JOURNAL OF NUMBER THEORY | 2015年 / 146卷

关键词：

Automorphic L-functions; Degenerate principal series; Differential operators; Ikeda lifts; SIEGEL CUSP FORMS; MODULAR-FORMS; FOURIER COEFFICIENTS; SERIES; REPRESENTATIONS; DEGREE-2; PRODUCTS; SP(N);

D O I：

10.1016/j.jnt.2014.01.030

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Ikeda lifts form a distinguished subspace of Siegel modular forms. In this paper we prove several global and local results concerning this space. We find that degenerate principal series representations (for the Siegel parabolic) of the symplectic group Spa of even degree satisfy a Hecke duality relation which has applications to Ikeda lifts and leads to converse theorems. Moreover we apply certain differential operators to study pullbacks of Ikeda lifts. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：171 / 186

页数：16

共 33 条

[1]

Andrianov A.N., 1976, T MAT I STEKLOVA, V142, P22

[2] Analytic continuation of representations and estimates of automorphic forms [J].