  Let M be a projective manifold, p:M_{G} --> M a regular covering over M with
a free abelian transformation group G. We describe holomorphic functions on
M_{G} of an exponential growth with respect to the distance defined by a metric
pulled back from M. As a corollary we obtain for such functions Cartwright and
Liouville type theorems. Our approach brings together L_{2} cohomology
technique for holomorphic vector bundles on complete K\"{a}hler manifolds and
geometric properties of projective manifolds.
