On algebraicity of special values of symmetric 4-th and 6-th power L-functions for GL(2)

被引：3

作者：

Morimoto, Kazuki ^{[1
]}

机构：

[1] Kobe Univ, Dept Math, Naka Ku, 1-1 Rokkodai Cho, Kobe, Hyogo 6578501, Japan

来源：

MATHEMATISCHE ZEITSCHRIFT | 2021年 / 299卷 / 3-4期

关键词：

Special values of symmetric power L-functions; Deligne's conjecture; Period relation; ZETA-FUNCTIONS; EISENSTEIN SERIES; EXTERIOR SQUARE; FUNCTORIALITY; 4TH;

D O I：

10.1007/s00209-021-02727-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove an algebraicity of special values of symmetric 4-th and 6-th power L-functions of Hilbert cusp forms using its symmetric power lifting and several algebraicity results on special values of automorphic L-functions.

引用

页码：1331 / 1350

页数：20

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