Geodesic
Certain Diophantine Properties of the Mahler Measure
Matematičeskie zametki, Tome 72 (2002) no. 6, pp. 828-833 
A. Dubickas. Certain Diophantine Properties of the Mahler Measure. Matematičeskie zametki, Tome 72 (2002) no. 6, pp. 828-833. http://geodesic.mathdoc.fr/item/MZM_2002_72_6_a4/
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that a polynomial in several Mahler measures with positive rational coefficients is equal to an integer if and only if all these Mahler measures are integers. An estimate for the distance between a metric Mahler measure and an integer is obtained. Finally, it is proved that the ratio of two distinct Mahler measures of algebraic units is irrational.

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