The Riemann Hypothesis for Function Fields

Frobenius Flow and Shift Operators

Machiel van Frankenhuijsen (Utah Valley University)

$37.95

Paperback

Not in-store but you can order this
How long will it take?

Availability Information

We source books from suppliers in Australia and overseas. For books we don't currently have in stock, the time it takes to get them from our suppliers can vary widely - from a few days to a few months - so we check each book with each supplier to determine the expected time it will take to be supplied to us.

We then advise you accordingly. If the time taken to get any book is too long for you, you can let us know and we will cancel or adjust your order, and refund as required.

To find out the anticipated arrival time for specific items prior to ordering, please contact us by phone or email:

Phone +61 2 9264 3111, or 1800 4 BOOKS (1800 4 26657) if outside Sydney:
option 1 Abbey's Bookshop (Crime, History, Science, Kids & more) • info@abbeys.com.au
option 2 Language Book Centre (ESL & Foreign Languages) • language@abbeys.com.au
option 3 Galaxy Bookshop (Sci-fi, Fantasy, Romance, Graphic Novels) • sf@galaxybooks.com.au

QTY:

English

Cambridge University Press
09 January 2014

Number theory

Series: London Mathematical Society Student Texts

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.

By: Machiel van Frankenhuijsen (Utah Valley University)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: 80
Dimensions: Height: 228mm, Width: 152mm, Spine: 10mm
Weight: 260g
ISBN: 9781107685314
ISBN 10: 1107685311
Series: London Mathematical Society Student Texts
Pages: 162
Publication Date: 09 January 2014
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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.

Reviews for The Riemann Hypothesis for Function Fields: Frobenius Flow and Shift Operators

'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