Weight Reduction for Mod l Bianchi Modular Forms

Details Weight Reduction for Mod l Bianchi Modular Forms Weight Reduction for Mod l Bianchi Modular Forms

2008-07-20

arxiv.org/abs/0807.3139v2

Mathematics

Number Theory

reorganized, corrected the twists

Scientific paper

Let K be an imaginary quadratic field with class number one and ring of
integers O. We prove that mod l, a system of Hecke eigenvalues occurring in the
first cohomology group of some congruence subgroup Gamma of SL(2,O) can be
realized in the first cohomology with trivial coefficients after increasing the
level of Gamma by l.

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