Les Conjectures de Stark sur les Fonctions L d'Artin en s=0 by J Tate

Les Conjectures de Stark sur les Fonctions L d'Artin en s=0 by J Tate

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Zusammenfassung

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 Nicht verfügbar
ISBN 13 9780817631888
ISBN 10 0817631887
Titel Les Conjectures de Stark sur les Fonctions L d'Artin en s=0
Autor J Tate
Serie Progress In Mathematics
Buchzustand Nicht verfügbar
Verlag Birkhauser Boston Inc
Erscheinungsjahr 1984-01-01
Seitenanzahl 148
Hinweis auf dem Einband Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis Nicht verfügbar