HEIGHTS OF POLYNOMIALS AND ENTROPY IN ALGEBRAIC DYNAMICS (Universitext) By G RAHAM E VEREST and T HOMAS W ARD : 212 pp., £35.00, ISBN 1 85233 125 9 (Springer, 1999).

By Victor Snaith. 2000

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A finiteness property of torsion points (2005, unknown): “Ward ([EW99], Lemma 1.”
Mahler measure, links and homology growth (2000, background): “A short proof can be found in either [EvWa] or [Sc].”
New and old facts about entropy in uniform spaces and topological groups (2012, background): “is known as (logarithmic) Mahler measure of p1(X) [20].”
Entropy on abelian groups (2010, background): “4), posed by Lehmer in 1933 (see [31]), and still open (see [19,28,33,42]).”
Elliptic Curves and Quadratic Recurrence Sequences (2005, background): “Elliptic divisibility sequences have recently been interpreted in the context of algebraic dynamical systems [8, 24].”
Functional equations for Mahler measures of genus-one curves (2006, unknown): “ar X iv :m at h/ 06 12 00 7v 3 [ m at h.”