Emil Artin und Helmut Hasse : die Korrespondenz, 1923-1934 = Emil Artin and Helmut Hasse : their correspondence, 1923-1934 / herausgegeben und kommentiert von Günter [i.e. Günther] Frei und Peter Roquette ; unter Mitwirkung von Franz Lemmermeyer.

Format:

Book

Author/Creator:

Artin, Emil, 1898-1962, author.

Contributor:

Frei, Günther, editor.

Roquette, Peter, 1927-2023, editor.

Lemmermeyer, Franz, 1962- editor.

Hasse, Helmut, 1898-1979.

Series:

Open Access e-Books

Knowledge Unlatched

Language:

English

German

Subjects (All):

Artin, Emil, 1898-1962--Correspondence.

Artin, Emil.

Hasse, Helmut, 1898-1979--Correspondence.

Hasse, Helmut.

Mathematicians--Austria--Correspondence.

Mathematicians.

Mathematicians--Germany--Correspondence.

Class field theory--History.

Class field theory.

Physical Description:

1 online resource (499 pages) : illustrations.

Other Title:

Emil Artin und Helmut Hasse

Place of Publication:

Göttingen : Universitätsverlag Göttingen, 2008.

Language Note:

Text in German, with introduction in English.

System Details:

text file

Summary:

This book contains the full text of the letters from Emil Artin to Helmut Hasse, as they are preserved in the Handschriftenabteilung of the Göttingen University Library. There are 49 such letters, written in the years 1923-1934, discussing mathematical problems of the time. The corresponding letters in the other direction, i.e., from Hasse to Artin, seem to be lost. We have supplemented Artin‘s letters by detailed comments, combined with a description of the mathematical environment of Hasse and Artin, and of the relevant literature. In this way it has become possible to sufficiently reconstruct the content of the corresponding letters from Hasse to Artin too. Artin and Hasse were among those who shaped modern algebraic number theory, in particular class field theory. Their correspondence admits a view of the ideas which led to the great achievements of their time, starting from Artin‘s L-series and his reciprocity law towards Hasse‘s norm symbol, local class field theory and the Local-Global Principle. These letters are a valuable source for understanding the rise and development of mathematical ideas and notions as we see them today. The book is a follow-up of our earlier book on the correspondence between Hasse and Emmy Noether. It is thus the second of a series which aims to open access to the rich collection of Hasse‘s mathematical letters and notes contained in the Göttingen Handschriftenabteilung.

Contents:

Teil I: Vorspann

1. Introduction

2. Emil Artin, his life and his work

3. Erinnerungen an Helmut Hasse

4. Reziprozität für Potenzreste

5. Klassenkörpertheorie

6. Zeittafel

Teil II: Die Briefe

1. Briefe Nr. 1-7: 1923-1926

2. Briefe Nr. 8-17: 1927 121

3. Briefe Nr.18-28: 1928-1929

4. Briefe Nr.29-49: 1930-1934

Teil III: Anhang

1. Namenverzeichnis

2. Stichwortverzeichnis

3. Literaturverzeichnis

4. Abbildungsverzeichnis.

Notes:

Includes bibliographical references (pages 471-497) and indexes.

CC BY-ND

Description based on print record, CIP data from the publisher, and e-publication e-publication, viewed on Mar 19, 2021.

OCLC:

701790738

Access Restriction:

Open access Unrestricted online access