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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
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 > Mathematics | ||||
| Journal or Publication Title: | Journal of Number Theory | ||||
| Publisher: | Academic Press | ||||
| ISSN: | 0022-314X | ||||
| Official Date: | 2009 | ||||
| Dates: |
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| 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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