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Keywords
- CON_D036
About this book
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.
Bibliographic Information
Book Title: Les Conjectures de Stark sur les Fonctions L d'Artin en s=0
Book Subtitle: Notes d'un cours a Orsay redigees par Dominique Bernardi
Authors: J. Tate
Series Title: Progress in Mathematics
Publisher: Birkhäuser Boston, MA
Copyright Information: Birkhäuser Boston 1984
Hardcover ISBN: 978-0-8176-3188-8Published: 01 January 1984
Series ISSN: 0743-1643
Series E-ISSN: 2296-505X
Edition Number: 1
Number of Pages: IV, 148