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

Gary Greaves, Graeme Taylor

Research output: Contribution to journalArticlepeer-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 languageEnglish
JournalElectronic Journal of Combinatorics
Volume20
Issue number1
Publication statusPublished - 2013 Feb 25

ASJC Scopus subject areas

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

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