On Deligne's conjecture for symmetric fifth L-functions of modular forms

被引：1

作者：

Chen, Shih-Yu ^{[1
]}

机构：

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

来源：

FORUM MATHEMATICUM | 2022年 / 34卷 / 03期

关键词：

Deligne's conjecture; symmetric power L-functions; SPECIAL VALUES; AUTOMORPHIC-FORMS; ARITHMETIC PROPERTIES; ZETA-FUNCTIONS; REPRESENTATIONS; PRODUCTS; SQUARE; SERIES; 4TH;

D O I：

10.1515/forum-2021-0278

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove Deligne's conjecture for symmetric fifth L-functions of elliptic newforms of weight greater than 5. As a consequence, we establish period relations between motivic periods associated to an elliptic newform and the Betti-Whittaker periods of its symmetric cube functorial lift to GL(4).

引用

页码：831 / 849

页数：19

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