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Collected Papers (English, German, French, Paperback, 2nd ed. 1990)
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Collected Papers (English, German, French, Paperback, 2nd ed. 1990)
Series: Springer Collected Works in Mathematics
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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.
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