Progress in Mathematics

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

Notes d'un cours a Orsay redigees par Dominique Bernardi

Authors: Tate, J.

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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.

Buy this book

Hardcover 39,85 €
price for Spain (gross)
  • ISBN 978-0-8176-3188-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules

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Bibliographic Information

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
Series Title
Progress in Mathematics
Series Volume
47
Copyright
1984
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
Hardcover ISBN
978-0-8176-3188-8
Series ISSN
0743-1643
Edition Number
1
Number of Pages
IV, 148
Topics