James McKee - Böcker

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.

Emotions are at the very heart of individual and communal actions. They influence our social and interpersonal behaviour and affect our perspectives on culture, history, politics, and morality.Emotions, Community, and Citizenship is a pioneering work that brings together scholars from an array of disciplines in order to challenge and unite the disciplinary divides in the study of emotions. These carefully selected studies highlight how emotions are studied within various disciplines with particular attention to the divide between naturalistic and interpretive approaches. The editors of this volume have provided a nuanced and insightful introduction and conclusion which provide not only an overarching commentary but a framework for the interdisciplinary approach to emotion studies.

Mahler measure, a height function for polynomials, is the central theme of this book. Many Mahler measure results are proved for restricted setsof polynomials, such as for totally real polynomials, and reciprocal polynomials of integer symmetric as well as symmetrizable matrices.