ON THE NONVANISHING HYPOTHESIS FOR RANKIN-SELBERG CONVOLUTIONS FOR GLn(C) x GLn(C)

被引：1
|
作者：
Dong, Chao-Ping [1 ]
Xue, Huajian [2 ]
机构：
[1] Hunan Univ, Inst Math, Changsha 410082, Hunan, Peoples R China
[2] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
来源：
REPRESENTATION THEORY | 2017年 / 21卷
关键词：
MATRIX COEFFICIENTS; CRITICAL-VALUES; LIE-GROUPS; REPRESENTATIONS;
D O I：
10.1090/ert/502
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Inspired by Sun's breakthrough in establishing the nonvanishing hypothesis for Rankin-Selberg convolutions for the groups GL(n)(R) x GL(n-1)(R) and GL(n)(C) x GL(n-1)(C), we confirm it for GL(n)(C) x GL(n)(C) at the central critical point.
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页码：151 / 171
页数：21
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