Asymptotics and zeta functions on compact nilmanifolds
Asymptotics and zeta functions on compact nilmanifolds
In this paper, we obtain asymptotic formulae on nilmanifolds $\Gamma \backslash G$, wher $G$ is any stratified (or even graded) nilpotent Lie group equipped with a co-compact discrete subgroup $\Gamma$. We study especially the asymptotics related to the sub-Laplacians naturally coming from the stratified structure of the group $G$ (and …