Irreducible polynomials with all but one zero close to the unit disk
Volume 143 / 2016
Colloquium Mathematicum 143 (2016), 265-270
MSC: Primary 11R06, 11R09; Secondary 30C15.
DOI: 10.4064/cm6604-11-2015
Published online: 4 February 2016
Abstract
We consider a certain class of polynomials whose zeros are, all with one exception, close to the closed unit disk. We demonstrate that the Mahler measure can be employed to prove irreducibility of these polynomials over $\mathbb {Q}$.
