Level Lowering Modulo Prime Powers and Twisted Fermat Equations

被引：4

作者：

Dahmen, Sander R. ^{[1
]}

Yazdani, Soroosh ^{[2
]}

机构：

[1] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada

[2] McMaster Univ, Dept Math & Stat, W Hamilton, ON L8S 4K1, Canada

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2012年 / 64卷 / 02期

关键词：

modular forms; level lowering; Diophantine equations; REPRESENTATIONS; CURVES;

D O I：

10.4153/CJM-2011-059-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We discuss a clean level lowering theorem modulo prime powers for weight 2 cusp forms. Furthermore, we illustrate how this can be used to completely solve certain twisted Fermat equations ax(n) + by(n) + cz(n) = 0.

引用

页码：282 / 300

页数：19

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