Let K be a global field of char p and let F q be the algebraic closure of F p in K. For an elliptic curve E/K with nonconstant j -invariant, the For any N > 1 invertible in K and finite subgroup T β E(K) of order N , we compute the mod N reduction of L(T , E/K) and determine an upper-bound for the
β¦ LIBER β¦
The L-functions of twisted Witt extensions
β Scribed by Chunlei Liu
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 199 KB
- Volume
- 125
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
β¦ Synopsis
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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