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

被引：4

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

页码：43 / 74

页数：32

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