The Riemann Hypothesis in Characteristic p in Historical Perspective

Released on by Peter Roquette
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  • The Riemann Hypothesis in Characteristic p in Historical Perspective Book Detail

  • Author : Peter Roquette
  • Release Date : 2018-09-28
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 239
  • ISBN 13 : 3319990675
  • File Size : 48,48 MB
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The Riemann Hypothesis in Characteristic p in Historical Perspective by Peter Roquette PDF Summary

Book Description: This book tells the story of the Riemann hypothesis for function fields (or curves) starting with Artin's 1921 thesis, covering Hasse's work in the 1930s on elliptic fields and more, and concluding with Weil's final proof in 1948. The main sources are letters which were exchanged among the protagonists during that time, found in various archives, mostly the University Library in Göttingen. The aim is to show how the ideas formed, and how the proper notions and proofs were found, providing a particularly well-documented illustration of how mathematics develops in general. The book is written for mathematicians, but it does not require any special knowledge of particular mathematical fields.

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Elliptic Curves (Second Edition)

Elliptic Curves (Second Edition)

File Size : 25,25 MB
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This book uses the beautiful theory of elliptic curves to introduce the reader to some of the deeper aspects of number theory. It assumes only a knowledge of th