Collected Papers

2. Auflage 1990
ISBN: 978-4-431-54994-9
Verlag: Springer Japan

Buch, Englisch, Deutsch, 376 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 593 g

Reihe: Springer Collected Works in Mathematics

Teiji Takagi one of the leading number theorists of this century, is most renowned as the founder of class field theory. This volume reflects the stages of his development of this theory. Inspired by a genial idea related to analytic number theory, he developed a beautiful general theory of abelian extensions of algebraic number fields which he addressed at the ICM 1920 at Strasbourg. This report ends with a problem to generalize the results to the case of normal, not necessarily abelian extensions. Up to now this problem has stimulated research. This second edition incorporates the whole contents of "The Collected Papers of Teiji Takagi" edited by S. Kuroda, published by Iwanami Shoten in 1974. Following additions have been made: Note on Eulerian squares (1946).- Concept of numbers.- K. Iwasawa: On arithmetical papers of Takagi.- K. Yosida: On analytical papers of Takagi.- S. Iyanaga: On life and works of Takagi.

Zielgruppe

Research

Autoren/Hrsg.

Takagi, Teiji

Yosida, Kôsaku

Iyanaga, Shokichi

Kodaira, Kunihiko

Iwasawa, Kenkichi

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen