Lehmer's conjecture for Hermitian matrices over the Eisenstein and Gaussian integers
Number Theory
2013-09-10 v1
Abstract
We solve Lehmer's problem for a class of polynomials arising from Hermitian matrices over the Eisenstein and Gaussian integers, that is, we show that all such polynomials have Mahler measure at least Lehmer's number \tau_0 = 1.17628... .
Keywords
Cite
@article{arxiv.1206.1734,
title = {Lehmer's conjecture for Hermitian matrices over the Eisenstein and Gaussian integers},
author = {Gary Greaves and Graeme Taylor},
journal= {arXiv preprint arXiv:1206.1734},
year = {2013}
}