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arXiv:1206.1734 [math.NT]AbstractReferencesReviewsResources

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

Gary Greaves, Graeme Taylor

Published 2012-06-08Version 1

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... .

Journal: The Electronic Journal of Combinatorics 20 (2013), no. 1, #P42
Categories: math.NT
Subjects: 15B33, 11C99
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