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Collected Papers

  • Book
  • © 1990

Overview

Part of the book series: Springer Collected Works in Mathematics (SCWM)

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About this book

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.

Authors and Affiliations

  • Imperial University of Tokyo, Tokyo, Japan

    Teiji Takagi

Bibliographic Information

  • Book Title: Collected Papers

  • Authors: Teiji Takagi

  • Series Title: Springer Collected Works in Mathematics

  • Publisher: Springer Tokyo

  • Copyright Information: Springer Japan KK, part of Springer Nature 1990

  • Softcover ISBN: 978-4-431-54994-9Published: 03 November 2014

  • Series ISSN: 2194-9875

  • Series E-ISSN: 2194-9883

  • Edition Number: 2

  • Number of Pages: XV, 376

  • Number of Illustrations: 1 b/w illustrations

  • Additional Information: Originally published by Iwanami Shoten Publishers, Tokyo 1973

  • Topics: Mathematics, general

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