The Riemann Hypothesis for Function Fields : Frobenius Flow and Shift Operators

The Riemann Hypothesis for Function Fields : Frobenius Flow and Shift Operators

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Key Features
  • Format: Paperback
  • Number Of Pages: 162 pages
  • Dimensions: 152 x 226 x 12mm
  • Weight: 260g
  • Publication date: 28 Feb 2014
  • Publisher: CAMBRIDGE UNIVERSITY PRESS
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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.

Key Features
  • Format: Paperback
  • Number Of Pages: 162 pages
  • Dimensions: 152 x 226 x 12mm
  • Weight: 260g
  • Publication date: 28 Feb 2014
  • Publisher: CAMBRIDGE UNIVERSITY PRESS
  • Publication City/Country: Cambridge, United Kingdom
  • Language: English
  • Illustrations note: 12 b/w illus. 1 table
  • ISBN10: 1107685311
  • ISBN13: 9781107685314
Specifications of The Riemann Hypothesis for Function Fields : Frobenius Flow and Shift Operators
SKU
JU030BKAJ4GRNAFAMZ
Model
9781107685314
Product Dimensions
890x598x47
Author
Machiel Frankenhuysen
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