Les Conjectures de Stark sur les Fonctions L d'Artin en s=0: Notes d'un cours a Orsay redigees par Dominique Bernardi / Edition 1

by J. Tate

Overview

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 12^th 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.

Product Details

ISBN-13:	9780817631888
Publisher:	Birkhäuser Boston
Publication date:	01/01/1984
Series:	Progress in Mathematics , #47
Edition description:	1984
Pages:	148
Product dimensions:	6.14(w) x 9.21(h) x 0.24(d)
Language:	French

Table of Contents

Introduction.-Fonctions L D’Artin.-La Conjecture Principale de Stark.-Caracteres a Valeurs Rationnelles.-Les Cas r(x)=0 et r(x)=1.-La Conjecture Plus Fine Dans le Cas Abelien.-Le Cas Des Corps de Fonctions.-Analogues p-Adiques des Conjectures de Stark.-Bibliographie.