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arXiv · 1206.1734

Lehmer's conjecture for Hermitian matrices over the Eisenstein and Gaussian integers

Gary Greaves·Graeme Taylor
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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 τ_0 = 1.17628... .

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Gary Greaves, Graeme Taylor. 2012-06-08. Lehmer's conjecture for Hermitian matrices over the Eisenstein and Gaussian integers. https://arxiv.org/abs/1206.1734

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