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Polynomials with small Mahler measure

Polynomials with small Mahler measure

We describe several searches for polynomials with integer coefficients and small Mahler measure. We describe the algorithm used to test Mahler measures. We determine all polynomials with degree at most 24 and Mahler measure less than <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="1.3"> <mml:semantics> <mml:mn>1.3</mml:mn> <mml:annotation encoding="application/x-tex">1.3</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, test all …