English

Weight Reduction for Mod l Bianchi Modular Forms

Number Theory 2013-10-08 v2

Abstract

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.

Keywords

Cite

@article{arxiv.0807.3139,
  title  = {Weight Reduction for Mod l Bianchi Modular Forms},
  author = {Mehmet Haluk Sengun and Seyfi Turkelli},
  journal= {arXiv preprint arXiv:0807.3139},
  year   = {2013}
}

Comments

reorganized, corrected the twists

R2 v1 2026-06-21T11:02:29.795Z