A Stickleberger theorem for p-adic Gauss sums
arXiv:math/0303226
Abstract
We define "splitting functions of level l" for any integer l>0. These functions generalize Dwork's splitting functions : they allow us to represent additive characters of order . Then we use these functions to obtain a Stickleberger theorem on the -adic valuation of new Gauss sums.
10 pages