On a certain metaplectic Eisenstein series and the twisted symmetric square L-function

被引：10

作者：

Takeda, Shuichiro ^{[1
]}

机构：

[1] Univ Missouri, Dept Math, Columbia, MO 65211 USA

来源：

MATHEMATISCHE ZEITSCHRIFT | 2015年 / 281卷 / 1-2期

关键词：

TRIPLE L-FUNCTIONS; ADIC GROUPS; REPRESENTATIONS; GL(R); FORMS; PROOF;

D O I：

10.1007/s00209-015-1476-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In our earlier paper, based on a paper by Bump and Ginzburg, we used an Eisenstein series on the double cover of to obtain an integral representation of the twisted symmetric square L-function of . Using that, we showed that the (incomplete) twisted symmetric square L-function of is holomorphic for . In this paper, we will determine the possible poles of this Eisenstein series more precisely and show that the (incomplete) twisted symmetric square L-function is entire except possible simple poles at and .

引用

页码：103 / 157

页数：55

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