Number Theory and Polynomials

Number Theory and Polynomials book cover

Number Theory and Polynomials

Author(s): James McKee

  • Publisher: Cambridge University Press
  • Publication Date: 8 May 2008
  • Edition: Illustrated
  • Language: English
  • Print length: 364 pages
  • ISBN-10: 0521714672
  • ISBN-13: 9780521714679

Book Description

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.

Editorial Reviews

Review

‘… certainly interesting not only for those interested in some selected topic but also for those who like to browse the papers with the aim of extending their knowledge.’ EMS Newsletter

Book Description

Contributions by leading experts in the field provide a snapshot of current progress in polynomials and number theory.

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