Title from publisher's bibliographic system (viewed on 05 Oct 2015).

The trace problem for totally positive algebraic integers / Julian Aguirre and Juan Carlos Peral ; Appendix / Jean-Pierre Serre -- Mahler's measure: from Number theory to geometry / Marie Jose Bertin -- Explicit calculation of elliptic fibrations of K3-surfaces and their Belyi-maps / Frits Beukers and Hans Montanus -- The merit factor problem / Peter Borwein, Ron Ferguson and Joshua Knauer -- Barker sequences and flat polynomials / Peter Borwein and Michael Mossinghoff -- The Hansen-Mullen primitivity conjecture: completion of proof / Stephen Cohen and Mateja Presern -- An inequality for the multiplicity of the roots of a polynomial / Arturas Dubickas -- Newman's inequality for in creasing exponential sums / Tamas Erdelyi -- On primitive divisors of n² + b / Graham Everest and Glyn Harman.

Irreducibility and greatest common divisor algorithms for sparse polynomials / Michael Filaseta, Andrew Granville and Andrzej Schinzel -- Consequences of the continuity of the monic integer transfinite diameter / Jan Hilmar -- Nonlinear recurrence sequences and Laurent polynomials / Andrew Hone -- Conjugate algebraic numbers on conics : a survey / James McKee -- On polynomial ergodic averages and square functions / Radhakrishnan Nair -- Polynomial inequalities, Mahler's measure, and multipliers / Igor E. Pritsket -- Integer transfinite diameter and computation of polynomials / Georges Rhin and Qiang Wu -- Smooth divisors of polynomials / Eira Scourfield -- Self-inversive polynomials with all zeros on the unit circle / Christopher Sinclair and Jeffrey Vaaler -- The Mahler measure of algebraic numbers: a survey / Chris Smyth.

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.