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

页码：71 / 82

页数：12

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