Emil Artin and Beyond – Class Field Theory and $L$-Functions
Heritage of European Mathematics
Della Dumbaugh ( University of Richmond, USA ) Joachim Schwermer (University of Vienna, Austria)
Emil Artin and Beyond – Class Field Theory and $L$-Functions
ISBN 978-3-03719-146-0 DOI 10.4171/146 March 2015, 245 pages, hardcover, 16.5 x 23.5 cm. 68.00 Euro
Table of Contents
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