Les Conjectures de Stark sur les Fonctions L d'Artin en s=0
Les Conjectures de Stark sur les Fonctions L d'Artin en s=0
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Résumé
They provide an unexpected contribution to Hilbert’s 12th problem on the generalization of class fields by the values of transcendental functions.This volume also treats these topics: a proof of the main conjecture for rational characters, and Chinburg’s invariant;
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Les Conjectures de Stark sur les Fonctions L d'Artin en s=0 by J Tate
This book presents a self-contained introduction to H.M. Stark’s remarkable conjectures about the leading term of the Taylor expansion of Artin’s L-functions at s=0. These conjectures can be viewed as a vast generalization of Dirichlet’s class number formula and Kronecker’s limit formula. They provide an unexpected contribution to Hilbert’s 12th problem on the generalization of class fields by the values of transcendental functions. This volume also treats these topics: a proof of the main conjecture for rational characters, and Chinburg’s invariant; P. Delgne’s proof of a function field analogue; p-adic versions of the conjectures due to B. Gross and J.-P. Serre. This volume belongs on the shelf of every mathematics library.| SKU | Non disponible |
| ISBN 13 | 9780817631888 |
| ISBN 10 | 0817631887 |
| Titre | Les Conjectures de Stark sur les Fonctions L d'Artin en s=0 |
| Auteur | J Tate |
| Série | Progress In Mathematics |
| État | Non disponible |
| Éditeur | Birkhauser Boston Inc |
| Année de publication | 1984-01-01 |
| Nombre de pages | 148 |
| Note de couverture | La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier. |
| Note | Non disponible |