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

Gary Greaves; Graeme Taylor

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

Gary Greaves, Graeme Taylor

INF - Computer and Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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 Τ₀ = 1.17628...

Original language	English
Journal	Electronic Journal of Combinatorics
Volume	20
Issue number	1
Publication status	Published - 2013 Feb 25

ASJC Scopus subject areas

Theoretical Computer Science
Geometry and Topology
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics
Applied Mathematics

Cite this

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title = "Lehmer's conjecture for Hermitian matrices over the Eisenstein and Gaussian integers",

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 Τ0 = 1.17628...",

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

Abstract

ASJC Scopus subject areas

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