Riemann Hypothesis for Function Fields

Name: Riemann Hypothesis for Function Fields
Brand: Cambridge University Press
SKU: 9781107047211
Price: 822.34 RON
Availability: InStock

Frobenius Flow and Shift Operators

Autor: Machiel van Frankenhuijsen

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Legare: Copertă tare

Editura: Cambridge University Press

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This book provides a lucid exposition of the connections between non-commutative geometry and the fa...

Informații despre carte

Autor

Machiel van Frankenhuijsen

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2014

Pagini

166

EAN

9781107047211

ISBN

1107047218

Enbook ID

02051131

Editura

Cambridge University Press

Greutate

390

Dimensiuni

152 x 231 x 15

Descriere completă

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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Riemann Hypothesis for Function Fields

Frobenius Flow and Shift Operators

Informații despre carte

Descriere completă

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