Lehmer's conjecture for Hermitian matrices over the Eisenstein and Gaussian integers (Q1953428)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lehmer's conjecture for Hermitian matrices over the Eisenstein and Gaussian integers |
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Lehmer's conjecture for Hermitian matrices over the Eisenstein and Gaussian integers (English)
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7 June 2013
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Summary: 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 \(\tau_0 = 1.17628\dots\).
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weighted graphs
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eigenvalues
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Mahler measure
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