Heights of roots of polynomials with odd coefficients

Average Mahler’s measure andLpnorms of unimodular polynomials

“…However, the moment sequences are no longer independent of t in this case, as t = 0 and t = 1 2 behave differently from other t ∈ (0, 1). Lower bounds on Mahler's measure of noncyclotomic Littlewood polynomials are found in [Borwein et al 2007;Dubickas and Mossinghoff 2005;Borwein et al 2004;Garza et al 2010], and a list of the maximum values of Mahler's measure for polynomials in L n for n ≤ 25 can be found in [Borwein and Mossinghoff 2008]. Also, the distribution of the values of Mahler's measure for polynomials with arbitrary real or complex coefficients is studied in [Chern and Vaaler 2001;Sinclair 2004], and average L p norms of other families of polynomials are considered in [Borwein and Choi 2007;Borwein et al 2008a;Mansour 2004].…”

A Short Note on the Mahler Measure and Lehmer's Conjecture

“…It can easily be shown that in each of these products only finitely many factors are different from 1 (see, for example, [5], [6], and [7] …”