The Riemann Hypothesis for Function Fields - Machiel van Frankenhuijsen

The Riemann Hypothesis for Function Fields
4.00 Oceń książkę!

Autor: Machiel van Frankenhuijsen

 Wydawnictwo: Cambridge University Press
ISBN: 9781107685314
EAN:
Format: ...
Oprawa: miękka
Stron: 162
Data wydania: 2014-10-01
Gdzie kupić tanią książkę?
Merlin
książka
142.99zł
Kup książkę
Książka w Twoim domu w ciągu 48h
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.

Książka "The Riemann Hypothesis for Function Fields"
Machiel van Frankenhuijsen