Riemann Hypothesis for Function Fields - Frobenius Flow and Shift Operators

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

List of contents

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.

About the author

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.

Report

'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

Product details

• Authors: Machiel Van Frankenhuijsen, Machiel Van (Utah Valley Universit Frankenhuijsen, Machiel van (Utah Valley University) Frankenhuijsen
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 09.01.2014
• EAN: 9781107685314
• ISBN: 978-1-107-68531-4
• No. of pages: 162
• Series: London Mathematical Society Student Texts; London Mathematical Society Student Texts; London Mathematical Society St
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous