Displaying similar documents to “Auxiliary polynomials for some problems regarding Mahler's measure”

Irreducible polynomials with all but one zero close to the unit disk

DoYong Kwon (2016)

Colloquium Mathematicae

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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.