Values of Twisted Tensor L-functions of Automorphic Forms Over Imaginary Quadratic Fields

被引：4

作者：

Lanphier, Dominic ^{[1
]}

Skogman, Howard ^{[2
]}

Ochiai, Hiroyuki ^{[3
]}

机构：

[1] Western Kentucky Univ, Dept Math, Bowling Green, KY 42101 USA

[2] SUNY Coll Brockport, Dept Math, Brockport, NY 14420 USA

[3] Kyushu Univ, Inst Math Ind, Motooka, Fukuoka 8190395, Japan

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2014年 / 66卷 / 05期

关键词：

twisted tensor L-function; cuspform; hypergeometric series; ARITHMETIC GROUPS; MODULAR FORMS; COHOMOLOGY;

D O I：

10.4153/CJM-2013-047-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K be a complex quadratic extension of Q and let A(K) denote the adeles of K. We find special values at all of the critical points of twisted tensor L-functions attached to cohomological cuspforms on GL(2)(AK) and establish Galois equivariance of the values. To investigate the values, we determine the archimedean factors of a class of integral representations of these L-functions, thus proving a conjecture due to Ghate. We also investigate analytic properties of these L-functions, such as their functional equations.

引用

页码：1078 / 1109

页数：32

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