A trace formula for non-unitary representations of a uniform lattice
  In this work we shall generalize the Selberg trace formula to a non-unitary finite-dimensional complex representation $\chi:\Gamma\rightarrow\operatorname{GL}(V)$ of a uniform lattice $\Gamma$ of a real Lie group $G$. 
Anton Deitmar, Frank Monheim
math.NT math.RT