Symmetric power functoriality for holomorphic modular forms, II

被引：79

作者：

Newton, James ^{[1
,2
]}

Thorne, Jack A. ^{[3
]}

机构：

[1] Kings Coll London, Dept Math, London WC2R 2LS, England

[2] Math Inst, Woodstock Rd, Oxford OX2 6GG, England

[3] Dept Pure Math & Math Stat, Wilberforce Rd, Cambridge CB3 0WB, England

来源：

PUBLICATIONS MATHEMATIQUES DE L IHES | 2021年 / 134卷 / 01期

基金：

欧洲研究理事会;

关键词：

GALOIS REPRESENTATIONS; CONJECTURE; AUTOMORPHY;

D O I：

10.1007/s10240-021-00126-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let f be a cuspidal Hecke eigenform without complex multiplication. We prove the automorphy of the symmetric power lifting Symn f for every n >= 1.

引用

页码：117 / 152

页数：36

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