Weight reduction for mod l Bianchi modular forms

JOURNAL OF NUMBER THEORY

卷:129

Article

Senguen, Mehmet Haluk¹  Turkelli, Seyfi² 

[1] Univ Duisburg Essen, Essen, Germany

[2] Univ Wisconsin, Madison, WI USA

关键词: Modular form;    Imaginary quadratic field;    Bianchi group;   

DOI  :  10.1016/j.jnt.2009.02.009

来源: Elsevier

【 摘 要 】

Let K be an imaginary quadratic field with class number one and l be a rational prime that splits in K. We prove that mod l, a system of Hecke eigenvalues occurring in the first cohomology group of some congruence subgroup Gamma of SL2 (O-K) can be realized, up to twist, in the first cohomology with trivial coefficients after increasing the level of Gamma by (l). (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free