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Twisted L-Functions and Complex Multiplication

✍ Scribed by Abdellah Sebbar


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
126 KB
Volume
88
Category
Article
ISSN
0022-314X

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πŸ“œ SIMILAR VOLUMES


L-functions of twisted Legendre curves
✍ Chris Hall πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 192 KB

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 βŠ‚ E(K) of order N , we compute the mod N reduction of L(T , E/K) and determine an upper-bound for the

The L-functions of twisted Witt extensio
✍ 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.

KMS states and complex multiplication
✍ Alain Connes; Matilde Marcolli; Niranjan Ramachandran πŸ“‚ Article πŸ“… 2005 πŸ› SP BirkhΓ€user Verlag Basel 🌐 English βš– 266 KB