Emil Artin and Beyond – Class Field Theory and -Functions
Della Dumbaugh
University of Richmond, USAJoachim Schwermer
University of Vienna, Austria
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- Review in Jahresber. Dtsch. Math. Ver.“[O]ne should stop and admire the quality of the paper and the carefully selected pictures and the reproductions from manuscripts or letters (with the regrettable exception of the faintly reproduced letter by Chevalley, pp. 30–34). Certainly, the compilation under review creates the first impression of a fine book. The subject matter is a fine one as well: Dumbaugh and Schwermer set out to illustrate the history of Class Field Theory starting in the 1930s and following later developments all the way to Langlands’s programme.“ — Norbert Schappacher (Strasbourg)
- Review in MathSciNet“This very readable book makes valuable historical contributions to the development of class field theory, and includes good mathematical summaries of its development.” — J. C. Lagarias (Ann Arbor, MI)
- Review in zbMATH“Class field theory and Langlands’ ideas occupy a central part of number theory in the 20th century, and this book is a significant contribution to the history of this development. It is highly recommended to number theorists and may be read with profit by anyone with a good background in algebra and algebraic number theory.“ — Franz Lemmermeyer (Jagstzell)