4 papers · 2 filters
Eisenstein series twisted by modular symbols for the group SL(n)
Dorian Goldfeld, Paul E. Gunnells
We define Eisenstein series twisted by modular symbols on the group SL(n), generalizing a construction of the first author. We show that, in the case of series attached to the mini…
Cohomology of congruence subgroups of SL(4,Z)
Avner Ash, Paul E. Gunnells, Mark McConnell
Let be an integer, and let $Γ= Γ_0 (N) \subset \SL_4 (\Z)$ be the subgroup of matrices with bottom row congruent to . We compute $H^5 (Γ; \C) $ for a range o…
Modular symbols and Hecke operators
Paul E. Gunnells
We survey techniques to compute the action of the Hecke operators on the cohomology of arithmetic groups. These techniques can be seen as generalizations in different directions of…
Computing special values of partial zeta functions
Gautam Chinta, Paul E. Gunnells, Robert Sczech
We discuss computation of the special values of partial zeta functions associated to totally real number fields. The main tool is the \emph{Eisenstein cocycle} , a group cocycle…