A Stickleberger theorem for p-adic Gauss sums

Details A Stickleberger theorem for p-adic Gauss sums A Stickleberger theorem for p-adic Gauss sums

2003-03-18

arxiv.org/abs/math/0303226v1

Mathematics

Number Theory

10 pages

Scientific paper

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 $p^l$. Then we use these functions to obtain a
Stickleberger theorem on the $p$-adic valuation of new Gauss sums.

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