On characteristic twists of multiple Dirichlet series associated to Siegel cusp forms

被引：1

作者：

Imamoglu, Oezlem ^{[1
]}

Martin, Yves ^{[2
]}

机构：

[1] Swiss Fed Inst Technol, Dept Math, CH-8096 Zurich, Switzerland

[2] Univ Chile, Fac Ciencias, Dept Matemat, Santiago, Chile

来源：

MATHEMATISCHE ZEITSCHRIFT | 2009年 / 263卷 / 02期

关键词：

MODULAR-FORMS;

D O I：

10.1007/s00209-008-0421-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define a twisted two complex variables Rankin-Selberg convolution of Siegel cusp forms of degree 2. We find its group of functional equations and prove its analytic continuation to C-2. As an application we obtain a non-vanishing result for special values of the Fourier Jacobi coefficients. We also prove the analytic properties for the characteristic twists of convolutions of Jacobi cusp forms.

引用

页码：345 / 368

页数：24

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