Geodesic
Certain Diophantine Properties of the Mahler Measure
Matematičeskie zametki, Tome 72 (2002) no. 6, pp. 828-833

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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. 
@article{MZM_2002_72_6_a4,
     author = {A. Dubickas},
     title = {Certain {Diophantine} {Properties} of the {Mahler} {Measure}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {828--833},
     publisher = {mathdoc},
     volume = {72},
     number = {6},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2002_72_6_a4/}
}
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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/