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Book Cover
Author Tate, John Torrence, 1925-

Title Les conjectures de Stark sur les fonctions L d'Artin en s=O : notes d'un cours à Orsay [de] John Tate / rédigées par Dominique Bernardi et Norbert Schappacher.

Published Boston : Birkhäuser, 1984.


Location Call No. Status
Physical description 143 pages ; 24 cm.
Series Progress in mathematics (Boston, Mass.) ; vol. 47.
Progress in mathematics (Boston, Mass.) ; vol. 47.
Bibliography Bibliography: pages 139-143.
Summary 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.
Other author Bernardi, Dominique.
Schappacher, Norbert.
Subject Stark's conjectures.
Series, Taylor's.
ISBN 0817631887
3764331887 (Switzerland)