Advertisement

© 2014

Emil Artin and Helmut Hasse

The Correspondence 1923-1958

  • Günther Frei
  • Franz Lemmermeyer
  • Peter J. Roquette
Book

Part of the Contributions in Mathematical and Computational Sciences book series (CMCS, volume 5)

Table of contents

  1. Front Matter
    Pages i-xx
  2. Introduction to the Correspondence

    1. Front Matter
      Pages 1-1
    2. Günther Frei, Franz Lemmermeyer, Peter J. Roquette
      Pages 3-17
    3. Günther Frei, Franz Lemmermeyer, Peter J. Roquette
      Pages 18-24
    4. Günther Frei, Franz Lemmermeyer, Peter J. Roquette
      Pages 25-32
    5. Günther Frei, Franz Lemmermeyer, Peter J. Roquette
      Pages 33-37
    6. Günther Frei, Franz Lemmermeyer, Peter J. Roquette
      Pages 38-40
    7. Günther Frei, Franz Lemmermeyer, Peter J. Roquette
      Pages 41-44
  3. The Letters

    1. Front Matter
      Pages 45-45
    2. Günther Frei, Franz Lemmermeyer, Peter J. Roquette
      Pages 47-104
    3. Günther Frei, Franz Lemmermeyer, Peter J. Roquette
      Pages 105-217
    4. Günther Frei, Franz Lemmermeyer, Peter J. Roquette
      Pages 219-264
    5. Günther Frei, Franz Lemmermeyer, Peter J. Roquette
      Pages 265-409
    6. Günther Frei, Franz Lemmermeyer, Peter J. Roquette
      Pages 411-421
    7. Günther Frei, Franz Lemmermeyer, Peter J. Roquette
      Pages 423-458
  4. Back Matter
    Pages 459-484

About this book

Introduction

This volume presents English translations of the letters exchanged between Emil Artin and Helmut Hasse written from 1921 to 1958. The letters are accompanied by extensive comments explaining the mathematical background and providing other essential context. Most letters deal with class field theory and shed new light on the birth of one of its most profound results: Artin’s reciprocity law.

Keywords

Artin's reciprocity law Emil Artin Helmut Hasse L-series class field theory

Editors and affiliations

  • Günther Frei
    • 1
  • Franz Lemmermeyer
    • 2
  • Peter J. Roquette
    • 3
  1. 1.HombrechtikonSwitzerland
  2. 2.JagstzellGermany
  3. 3.Universität HeidelbergHeidelbergGermany

Bibliographic information

  • Book Title Emil Artin and Helmut Hasse
  • Book Subtitle The Correspondence 1923-1958
  • Editors Günther Frei
    Franz Lemmermeyer
    Peter J. Roquette
  • Series Title Contributions in Mathematical and Computational Sciences
  • Series Abbreviated Title Contrib. Math. Comput. Sci.
  • DOI https://doi.org/10.1007/978-3-0348-0715-9
  • Copyright Information Springer Basel 2014
  • Publisher Name Springer, Basel
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Hardcover ISBN 978-3-0348-0714-2
  • eBook ISBN 978-3-0348-0715-9
  • Series ISSN 2191-303X
  • Series E-ISSN 2191-3048
  • Edition Number 1
  • Number of Pages XX, 484
  • Number of Illustrations 25 b/w illustrations, 0 illustrations in colour
  • Topics Number Theory
    History of Mathematical Sciences
  • Buy this book on publisher's site
Industry Sectors
Aerospace
Electronics
Finance, Business & Banking

Reviews

From the book reviews:

“There is extensive mathematical and biographical commentary accompanying the letters, making it possible to follow the discussion without having to be familiar with class field theory and its history. … For anyone interested in the history of number theory in the 20th century, this book is a must-have.” (Fernando Q. Gouvêa, MAA Reviews, July, 2014)