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
收藏
页码：282 / 300
页数：19
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