On Deligne?s conjecture for symmetric fourth L-functions of Hilbert modular forms

被引：2

作者：

Chen, Shih-Yu ^{[1
,2
]}

机构：

[1] Inst Math, Acad Sinica, ROC, 6F, Astron-Math Bldg, 1, Sec 4, Roosevelt Rd, Taipei 10617, Taiwan

[2] Kyoto Univ, Dept Math, Kitashirakawa Oiwake-cho, Sakyo-ku, Kyoto 6068502, Japan

来源：

ADVANCES IN MATHEMATICS | 2023年 / 414卷

关键词：

Deligne?s conjecture; Symmetric power L -functions; ARCHIMEDEAN ZETA INTEGRALS; SPECIAL VALUES; DISTINGUISHED REPRESENTATIONS; AUTOMORPHIC-FORMS; SQUARE; ALGEBRAICITY; EXTERIOR; PRODUCTS; GL(N);

D O I：

10.1016/j.aim.2023.108860

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove an automorphic analogue of Deligne's conjecture for symmetric fourth L-functions of Hilbert modular forms. We extend the result of Morimoto [41] based on generalization and refinement of the results of Grobner and Lin [18] to cohomological irreducible essentially conjugate self-dual cuspidal automorphic representations of GL2 and GL3 over CM-fields.

引用

页数：79

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