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The L-functions of twisted Witt extensions

Chunlei Liu
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Abstract

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.

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Chunlei Liu. 2005-11-25. The L-functions of twisted Witt extensions. https://arxiv.org/abs/math/0409314

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