Number Theory and Polynomials

Table of Contents

Preface
Index of authors
List of participants
Conference photograph, with key
The trace problem for totally positive algebraic integers Julián Aguirre and Juan Carlos Peral, with an appendix by Jean-Pierre Serre
Mahler's measure: from Number Theory to Geometry Marie José 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 Prešern
An inequality for the multiplicity of the roots of a polynomial Artūras Dubickas
Newman's inequality for increasing exponential sums Tamás Erdélyi
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. Pritsker
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.

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