Salem numbers as Mahler measures of Gaussian Pisot numbers
Volume 194 / 2020
Acta Arithmetica 194 (2020), 383-392
MSC: Primary 11R06; Secondary 11R80, 11J7.
DOI: 10.4064/aa181208-14-7
Published online: 28 March 2020
Abstract
A Gaussian Pisot number is an algebraic integer with modulus greater than 1 whose other conjugates, over the quadratic field $\mathbb {Q}(\sqrt {-1}),$ are of modulus less than 1. We determine all nonreciprocal Gaussian Pisot numbers whose Mahler measures are Salem numbers.
