A Stickleberger theorem for p-adic Gauss sums

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66828We 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.10 pagesNumber TheoryA Stickleberger theorem for p-adic Gauss sumstext