  In this paper we study the lattice quasi-periodic operators with power-law
long-range hopping and meromorphic monotone potentials, and diagonalize the
operators via a Nash-Moser iteration scheme. As applications, we obtain uniform
power-law localization, uniform dynamical localization and Lipschitz continuity
of the integrated density of states (IDS) for such operators. Our main
motivation comes from investigating quantum suppression of chaos in a quantum
kicked rotor model with non-analytical potential.
