  We consider eigenvalues of the Dirichlet-to-Neumann operator for Laplacian in
the domain (or manifold) with edges and establish the asymptotics of the
eigenvalue counting function \begin{equation*} \mathsf{N}(\lambda)=
\kappa_0\lambda^d +O(\lambda^{d-1})\qquad \text{as}\ \ \lambda\to+\infty,
\end{equation*} where $d$ is dimension of the boundary. Further, in certain
cases we establish two-term asymptotics \begin{equation*} \mathsf{N}(\lambda)=
\kappa_0\lambda^d+\kappa_1\lambda^{d-1}+o(\lambda^{d-1})\qquad \text{as}\ \
\lambda\to+\infty. \end{equation*} We also establish improved asymptotics for
Riesz means.
