Critical values of L-functions for GL3 x GL1 and symmetric square L-functions for GL2 over a CM field

被引：3
|
作者：
Sachdeva, Gunja [1 ]
机构：
[1] Tata Inst Fundamental Res, Sch Math, Dr Homi Bhabha Rd, Colaba Mumbai 40005, India
来源：
JOURNAL OF NUMBER THEORY | 2020年 / 211卷
关键词：
Cohomological automorphic representation; CM field; Rankin Selberg L-functions; Critical values; Algebraicity result; EISENSTEIN COHOMOLOGY;
D O I：
10.1016/j.jnt.2019.10.013
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In article [14], an algebraicity result, an extension of Mahnkopf's result [10], for the critical values of L-functions for GL(3) x GL(1) over a totally real number field was proved. In this paper, we again prove an extension of Mahnkopf [101, for all the critical values of certain Rankin Selberg L-functions attached to a pair of algebraic automorphic representations on GL(3) x GL(1) over a CM field, having cohomology with a general coefficient system. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页码：43 / 74
页数：32
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