A Stickleberger theorem for p-adic Gauss sums

Regis Blache

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A Stickleberger theorem for p-adic Gauss sums

Regis Blache

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

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Regis Blache. 2003-03-18. A Stickleberger theorem for p-adic Gauss sums. https://arxiv.org/abs/math/0303226

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