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

Gary Greaves*, Graeme D Taylor

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)

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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 atleast Lehmer's number tau(0) = 1.17628 ....
Original languageEnglish
Article numberP42
Number of pages22
JournalElectronic Journal of Combinatorics
Volume20
Issue number1
Publication statusPublished - 25 Feb 2013

Keywords

  • Weighted Graphs; Eigenvalues; Mahler Measure

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