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The Riemann Hypothesis for Function Fields

The Riemann Hypothesis for Function Fields

The Riemann Hypothesis for Function Fields Paperback - 2014

by Machiel van Frankenhuijsen

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Paperback. New. New Book; Fast Shipping from UK; Not signed; Not First Edition; A description of how non-commutative geometry could provide a means to attack the Riemann Hypothesis, one of the most important unsolved problems in mathematics. The book will be of interest to graduate students in analytic and algebrai
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Details

  • Title The Riemann Hypothesis for Function Fields
  • Author Machiel van Frankenhuijsen
  • Binding Paperback
  • Condition New
  • Pages 162
  • Volumes 1
  • Language ENG
  • Publisher Cambridge University Press
  • Publication date 2014-01-09
  • Bookseller's Inventory # ria9781107685314_inp
  • ISBN 9781107685314 / 1107685311
  • Weight 0.55 lbs (0.25 kg)
  • Dimensions 8.9 x 5.9 x 0.3 in (22.61 x 14.99 x 0.76 cm)
  • Themes
    • Aspects (Academic): Science/Technology Aspects
  • Category Mathematics
  • Dewey Decimal Code 512.73
  • Quantity available 364

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Reader reviews for The Riemann Hypothesis for Function Fields

From the publisher

This book provides a lucid exposition of the connections between non-commutative geometry and the famous Riemann Hypothesis, focusing on the theory of one-dimensional varieties over a finite field. The reader will encounter many important aspects of the theory, such as Bombieri's proof of the Riemann Hypothesis for function fields, along with an explanation of the connections with Nevanlinna theory and non-commutative geometry. The connection with non-commutative geometry is given special attention, with a complete determination of the Weil terms in the explicit formula for the point counting function as a trace of a shift operator on the additive space, and a discussion of how to obtain the explicit formula from the action of the idele class group on the space of adele classes. The exposition is accessible at the graduate level and above, and provides a wealth of motivation for further research in this area.
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