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Weight reduction for mod ℓ Bianchi modular forms

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Sengun, Mehmet Haluk and Turkelli, Seyfi (2009) Weight reduction for mod ℓ Bianchi modular forms. Journal of Number Theory, Vol.129 (No.8). pp. 2010-2019. doi:10.1016/j.jnt.2009.02.009

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Official URL: http://dx.doi.org/10.1016/j.jnt.2009.02.009

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Abstract

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 Γ of SL2(OK) can be realized, up to twist, in the first cohomology with trivial coefficients after increasing the level of Γ by (ℓ).

Item Type: Journal Article
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Journal or Publication Title: Journal of Number Theory
Publisher: Academic Press
ISSN: 0022-314X
Official Date: 2009
Dates:
DateEvent
2009Published
Volume: Vol.129
Number: No.8
Page Range: pp. 2010-2019
DOI: 10.1016/j.jnt.2009.02.009
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

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