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Abstract
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We show that for each
there
is a monic integer polynomial
of degree
which is
irreducible over
and has two complex conjugate roots as close to the unit circle as is allowed by the
Liouville-type inequality.
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Keywords
irreducible polynomial, roots close to 1, Mahler measure,
resultant
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Mathematical Subject Classification 2010
Primary: 11C08
Secondary: 12D10
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Milestones
Received: 7 October 2019
Revised: 13 January 2020
Accepted: 27 January 2020
Published: 5 November 2020
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