Książka Riemann Hypothesis for Function Fields Machiel van Frankenhuijsen

Riemann Hypothesis for Function Fields

Frobenius Flow and Shift Operators

Język: Angielski
Oprawa: Miękka
Dostępność: Dostępna u dostawcy
Wysyłamy za 9-15 dni
223.08
This book provides a lucid exposition of the connections between non-commutative geometry and the fa...

Informacje o książce

Język
Angielski
Oprawa
Książka - Miękka
Data wydania
2014
strony
162
EAN
9781107685314
ISBN
1107685311
Enbook ID
02053420
Waga
260
Wymiary
226 x 153 x 9

Pełny opis

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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