Nonvanishing of Koecher-Maass series attached to Siegel cusp forms

被引：10

作者：

Das, Soumya ^{[1
]}

Kohnen, Winfried ^{[2
]}

机构：

[1] Indian Inst Sci, Dept Math, Bangalore 560012, Karnataka, India

[2] Heidelberg Univ, Math Inst, D-69120 Heidelberg, Germany

来源：

ADVANCES IN MATHEMATICS | 2015年 / 281卷

关键词：

Koecher-Maass series; Siegel modular forms; MODULAR-FORMS; EISENSTEIN SERIES; DIRICHLET SERIES; POINCARE-SERIES;

D O I：

10.1016/j.aim.2015.05.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a nonvanishing result for Koecher-Maass series attached to Siegel cusp forms of weight k and degree n in certain strips on the complex plane. When n = 2, we prove such a result for forms orthogonal to the space of the Saito-Kurokawa lifts 'up to finitely many exceptions', in bounded regions. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：624 / 669

页数：46

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