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  and . 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.
|Commitee:||Rubin, Karl, Silverberg, Alice|
|School:||University of California, Irvine|
|Department:||Mathematics - Ph.D.|
|School Location:||United States -- California|
|Source:||DAI-B 70/05, Dissertation Abstracts International|
|Keywords:||Coherent decompositions, Exponential sums, Hasse polynomials, Hodge polygons, Newton polygons, Number theory, P-adic analysis|
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