| In this paper we investigate the decomposition theory for generic Newton polygons associated to L-functions of n-dimensional exponential sums over finite fields. We develop a new coherent decomposition theorem. This is a generalization of decompositions results in [15] and [17]. Our main result in this direction is a complete coherent decomposition theorem (Theorem 1.2.8).;As a demonstration of these techniques, decomposition theory is applied to a family of L-functions based on Deligne polynomials. A general formula for associated Hodge polygons as well as conditions for generic ordinarity and non-ordinarity are provided. |
