Charles Samuels

Let $M(\alpha)$ denote the Mahler measure of the algebraic number $\alpha$. Dubickas and Smyth constructed a modified version $M_1$ of $M$ having the triangle inequality. $M_1$ is called the metric Mahler measure. We produce an entire parametrized...

Let x be an algebraic number and let M(x) denote its Mahler measure. If x = x1...xN the t-metric Mahler measure Mt(x) is a convenient way to study the smallest possible values of M(xn) in terms of x. In joint work with J. Jankauskas, we resolve an...