Number Theory and Polynomials (London Mathematical Society Lecture Note Series, Series Number 352) - Softcover

Softcover

ISBN 10: 0521714672 ISBN 13: 9780521714679

Publisher: Cambridge University Press, 2008

Synopsis

Many areas of active research within the broad field of number theory relate to properties of polynomials, and this volume displays the most recent and most interesting work on this theme. The 2006 Number Theory and Polynomials workshop in Bristol drew together international researchers with a variety of number-theoretic interests, and the book's contents reflect the quality of the meeting. Topics covered include recent work on the Schur-Siegel-Smyth trace problem, Mahler measure and its generalisations, the merit factor problem, Barker sequences, K3-surfaces, self-inversive polynomials, Newman's inequality, algorithms for sparse polynomials, the integer transfinite diameter, divisors of polynomials, non-linear recurrence sequences, polynomial ergodic averages, and the Hansen-Mullen primitivity conjecture. With surveys and expository articles presenting the latest research, this volume is essential for graduates and researchers looking for a snapshot of current progress in polynomials and number theory.

About this title

About the Authors

James McKee is a Senior Lecturer in the Department of Mathematics at Royal Holloway, University of London.

Chris Smyth is a Reader in the School of Mathematics and the Maxwell Institute for Mathematical Sciences at the University of Edinburgh.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2008
• ISBN 10: 0521714672
• ISBN 13: 9780521714679
• Binding: Paperback
• Language: English
• Number of pages: 364
• Editor: McKee James