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Collected Papers I

Contributions to Number Theory

  • Book
  • © 1975

Overview

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

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Keywords

  • Zahlentheorie
  • Primzahlen
  • Kreisteilung
  • Klassenanzahl
  • Wurzeln
  • Reziprozitätsgesetze
  • MSC 11-XX, 01A75

About this book

From the reviews: "The broad lines of Kummer's number-theoretic ideas now form an essential part of our heritage: it is fascinating to follow the details of their evolution... Volume I consists of Kummer's number theory. It constitutes a unity of thought and spirit almost from first sentence to last. One of the joys of reading it is in the double spectacle: the steady train of mathematical content, unimpeded by lack of basic algebraic number theory; while here and there, to serve problems at hand, the deft, unobtrusive forging of pieces of present day technique. It is not hard to get into, even for those of us who have had little contact with the history of our subject. Cleft though one may think one is from historical sources, on reading Kummer one finds that the rift is jumpable, the jump pleasurable. The reader is greatly helped in this jump in two ways. Firstly, included in the volume is a continuum of well-written, moving letters from Kummer to Kronecker giving the details of manyof Kummer's important discoveries as they freshly occurred to him (these, together with some letters from Kummer to his mother, form part of a description of Kummer's work by Hensel on the occasion of the centenary of Kummer's birth, also included in the volume). Secondly, there is an excellent introduction, in which Weil describes the main lines of Kummer's work, and explains its relations to Kummer's contemporaries, and to us."

Authors, Editors and Affiliations

  • Institute for Advanced Study, Princeton, USA

    André Weil

  • Universität Berlin, Berlin, Germany

    Ernst Eduard Kummer

Bibliographic Information

  • Book Title: Collected Papers I

  • Book Subtitle: Contributions to Number Theory

  • Authors: Ernst Eduard Kummer

  • Editors: André Weil

  • Series Title: Springer Collected Works in Mathematics

  • Publisher: Springer Berlin, Heidelberg

  • Copyright Information: Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature 1975

  • Softcover ISBN: 978-3-662-48832-4Published: 30 December 2015

  • Series ISSN: 2194-9875

  • Series E-ISSN: 2194-9883

  • Edition Number: 1

  • Number of Pages: VIII, 957

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