2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/100872The L-function of a non-degenerate twisted Witt extension is proved to be a polynomial. Its Newton polygon is proved to lie above the Hodge polygon of that extension. And the Newton polygons of the Gauss-Heilbronn sums are explicitly determined, generalizing the Stickelberger theorem.16 pagesNumber TheoryAlgebraic Geometry11L07; 14F30text