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Emil Artin and Beyond - Class Field Theory and L-Functions

Della Dumbaugh and Joachim Schwermer
Publisher: 
European Mathematical Society
Publication Date: 
2015
Number of Pages: 
231
Format: 
Hardcover
Series: 
Heritage of European Mathematics 19
Price: 
76.00
ISBN: 
9783037191460
Category: 
Monograph
We do not plan to review this book.

I. Class field theory: From Artin's course in Hamburg to Chevalley's "Éléments idéaux

  • Claude Chevalley's thesis on class field theory and his notion of "Éléments idéaux
  • Introduction
  • Letter from Claude Chevalley to Helmut Hasse, June 20, 1935
  • Letter from Helmut Hasse to Claude Chevalley, June 28, 1935

II. Creating a life: Emil Artin in America

  • Emigration, immigration and pre-remigration
  • Introduction
  • Letter from Solomon Lefschetz to Father John O'Hara, January 12, 1937

III. The collaboration of Emil Artin and George Whaples

  • The work of Artin and Whaples--A conceptual breakthrough in algebraic number theory
  • Introduction
  • George Whaples' application to the Institute for Advanced Study, School of Mathematics, Princeton, NJ, February 10, 1941

IV. Margaret Matchett: Artin's student at Indiana and her thesis

  • Margaret Matchett and her thesis "On the zeta function for ideles"
  • Introduction
  • Margaret Mathcett's doctoral dissertation "On the zeta function for ideles"

V. L-functions by James W. Cogdell

  • L-functions and non-abelian class field theory, from Artin to Langlands

VI. Automorphic L-functions by Robert P. Langlands

  • Letter from Robert Langlands to André Weil, January 1967
  • Funktorialität in der Theorie der automorphen Formen: Ihre Entdeckung und ihre Ziele
  • Einführung
  • Bibliography
  • Index