Machiel Van Frankenhuijsen

The Riemann Hypothesis for Function Fields

Frobenius Flow and Shift Operators

• Gebundenes Buch

Produktbeschreibung

An exposition of the theory of curves over a finite field, and connections to the Riemann Hypothesis for function fields.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 166
• Erscheinungstermin: 27. Februar 2014
• Englisch
• Abmessung: 235mm x 157mm x 14mm
• Gewicht: 403g
• ISBN-13: 9781107047211
• ISBN-10: 1107047218
• Artikelnr.: 40306051

Autorenporträt

Machiel van Frankenhuijsen is an Associate Professor at Utah Valley University. His research interests lie in number theory, especially the abc conjecture and the connections between geometry and number theory.

Inhaltsangabe

List of illustrations
Preface
Introduction
1. Valuations
2. The local theory
3. The zeta function
4. Weil positivity
5. The Frobenius flow
6. Shift operators
7. Epilogue
References
Notation
Index.

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List of illustrations; Preface; Introduction; 1. Valuations; 2. The local theory; 3. The zeta function; 4. Weil positivity; 5. The Frobenius flow; 6. Shift operators; 7. Epilogue; References; Notation; Index.

Rezensionen

'This charming book is an attempt to understand some modern approaches to the [Riemann Hypothesis] ... This intriguing material is recommended, e.g. for an advanced student seminar.' Nieuw Archief voor Wiskunde