  In this paper, we study the multi-frequency quasi-periodic operator with a
Gevrey type perturbation. We first establish the large deviation theorem (LDT)
for the multi-dimensional operator with a sub-exponential (or Gevrey)
long-range hopping and then prove the pure point spectrum property. Based on
the LDT and the Aubry duality, we show the absence of point spectrum for the
$1D$ exponential long-range operator with a multi-frequency and a Gevrey
potential. We also prove the spectrum has the positive Lebesgue measure.
