  We investigate the distribution of the angles of Gauss sums attached to the
cuspidal representations of general linear groups over finite fields. In
particular we show that they happen to be equidistributed w.r.t.the Haar
measure. However, for representations of $PGL_2(\mathbb F_q)$, they are
clustered around $1$ and $-1$ for odd $p$ and around $1$ for $p=2$.
