Publication Date
2010
Journal or Book Title
MATHEMATICS OF COMPUTATION
Abstract
In two previous papers we computed cohomology groups for a range of levels , where is the congruence subgroup of consisting of all matrices with bottom row congruent to mod . In this note we update this earlier work by carrying it out for prime levels up to . This requires new methods in sparse matrix reduction, which are the main focus of the paper. Our computations involve matrices with up to 20 million nonzero entries. We also make two conjectures concerning the contributions to for prime coming from Eisenstein series and Siegel modular forms.
Pages
1811-1831
Volume
79
Issue
271
Recommended Citation
Ash, A; Gunnells, PE; and McConnell, M, "COHOMOLOGY OF CONGRUENCE SUBGROUPS OF SL4(Z). III" (2010). MATHEMATICS OF COMPUTATION. 391.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/391
Comments
This is the pre-published version harvested from ArXiv. The published version is located at http://www.ams.org/journals/mcom/2010-79-271/S0025-5718-10-02331-8/home.html