L-Functions for GSp(2) x GL(2): Archimedean Theory and Applications

被引：5

作者：

Moriyama, Tomonori ^{[1
]}

机构：

[1] Osaka Univ, Dept Math, Osaka 5600043, Japan

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2009年 / 61卷 / 02期

关键词：

UNRAMIFIED PRINCIPAL SERIES; P-ADIC GROUPS; WHITTAKER FUNCTIONS; CUSP FORMS; GENERIC TRANSFER; SPECIAL VALUES; REPRESENTATIONS; GSP(4)XGL(2);

D O I：

10.4153/CJM-2009-021-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Pi be a generic cuspidal automorphic representation of GSp(2) defined over a totally real algebraic number field k whose archimedean type is either a (limit of) large discrete series representation or a certain principal series representation. Through explicit computation of archimedean local zeta integrals, we prove the functional equation of tensor product L-functions L(s, Pi x sigma) for an arbitrary cuspidal automorphic representation sigma of GL(2). We also give an application to the spinor L-function of Pi.

引用

页码：395 / 426

页数：32

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