ON HIGHER CONGRUENCES BETWEEN AUTOMORPHIC FORMS

被引：6
|
作者：
Berger, Tobias [1 ]
Klosin, Krzysztof [2 ]
Kramer, Kenneth [2 ]
机构：
[1] Univ Sheffield, Sch Math & Stat, Sheffield S3 7RH, S Yorkshire, England
[2] CUNY, Queens Coll, Dept Math, Flushing, NY 11367 USA
来源：
MATHEMATICAL RESEARCH LETTERS | 2014年 / 21卷 / 01期
关键词：
congruences; automorphic forms; REPRESENTATIONS; CONJECTURE; LIFTS;
D O I：
10.4310/MRL.2014.v21.n1.a5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove a commutative algebra result which has consequences for congruences between automorphic forms modulo prime powers. If C denotes the congruence module for a fixed automorphic Hecke eigenform pi(0), we prove an exact relation between the p-adic valuation of the order of C and the sum of the exponents of p-power congruences between the Hecke eigenvalues of pi(0) and other automorphic forms. We apply this result to several situations including the congruences described by Mazur's Eisenstein ideal.
引用
收藏
页码：71 / 82
页数：12
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