Minimal polynomials of some beta-numbers and Chebyshev polynomials
Beta-numbers whose conjugates lie near the unit circle
Irreducible polynomials with all but one zero close to the unit disk
We consider a certain class of polynomials whose zeros are, all with one exception, close to the closed unit disk. We demonstrate that the Mahler measure can be employed to prove irreducibility of these polynomials over ℚ.
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