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Birkhäuser

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

Notes d'un cours a Orsay redigees par Dominique Bernardi

  • Book
  • © 1984

Overview

Part of the book series: Progress in Mathematics (PM, volume 47)

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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.

Keywords

  • CON_D036

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

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