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TheL-functions of Witt coverings

✍ Scribed by Chunlei Liu; Dasheng Wei


Publisher
Springer-Verlag
Year
2006
Tongue
French
Weight
285 KB
Volume
255
Category
Article
ISSN
0025-5874

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✍ Chunlei Liu πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 199 KB

The 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.