Number Theory and Polynomials / edited by James McKee, Chris Smyth.

Title from publishers bibliographic system (viewed 22 Dec 2011).

Available through Cambridge books online SHEDL trial from 9th January 2012 to 9th July 2012.

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

Includes bibliographical references.

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.

English.

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