Riemann Hypothesis for Function Fields

Name: Riemann Hypothesis for Function Fields
Brand: Cambridge University Press
SKU: 9781107685314
Price: 49.79 EUR
Availability: InStock

Frobenius Flow and Shift Operators

Autor: Machiel van Frankenhuijsen

Jazyk:

Väzba: Brožovaná

Vydavateľ: Cambridge University Press

Dostupnosť: Skladom u dodávateľa

Odosielame za 9-15 dní

49.79 €

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

Informácie o knihe

Autor

Machiel van Frankenhuijsen

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

2014

Stránok

162

EAN

9781107685314

ISBN

1107685311

Enbook ID

02053420

Vydavateľ

Cambridge University Press

Hmotnosť

260

Rozmery

226 x 153 x 9

Kompletný popis

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

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Kompletný popis

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