On the Hecke fields of Galois representations

被引：0

作者：

Choi, Dohoon ^{[1
]}

Taguchi, Yuichiro ^{[2
]}

机构：

[1] Korea Aerosp Univ, Sch Liberal Arts & Sci, Goyang 412791, Gyeonggi, South Korea

[2] Tokyo Inst Technol, Dept Math, Meguro Ku, Tokyo 1528551, Japan

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2016年 / 48卷

基金：

新加坡国家研究基金会;

关键词：

VARIETIES;

D O I：

10.1112/blms/bdw042

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is known that, in many cases, the field (known as the Hecke field) generated by all Hecke eigenvalues of an elliptic modular newform f is in fact generated by the pth Hecke eigenvalue ap of f for a single prime number p. In this paper, we study the density of such primes in a more general situation in terms of Galois representations. This is applied to the study of the fields of rationality of certain automorphic representations.

引用

页码：813 / 821

页数：9

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