A Stickleberger theorem for p-adic Gauss sums
Number Theory
2007-05-23 v1
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.
Cite
@article{arxiv.math/0303226,
title = {A Stickleberger theorem for p-adic Gauss sums},
author = {Regis Blache},
journal= {arXiv preprint arXiv:math/0303226},
year = {2007}
}
Comments
10 pages