English

The L-functions of twisted Witt extensions

Number Theory 2007-05-23 v2 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.math/0409314,
  title  = {The L-functions of twisted Witt extensions},
  author = {Chunlei Liu},
  journal= {arXiv preprint arXiv:math/0409314},
  year   = {2007}
}

Comments

16 pages

R2 v1 2026-07-22T17:09:55.361Z