Wegner estimate for discrete Schrodinger operators with Gaussian random potentials

We prove a Wegner estimate for discrete Schrodinger operators with a potential given by a Gaussian random process. The only assumption is that the covariance function decays exponentially; no monotonicity assumption is required. This improves earlier results where abstract conditions on the conditional distribution, compactly supported and non -negative, or compactly supported covariance functions with positive mean are considered.