Certain Diophantine Properties of the Mahler Measure |
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| Authors: | Dubickas A. |
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| Affiliation: | (1) Vilnius State University, Lithuania |
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| Abstract: | 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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| Keywords: | algebraic number Mahler measure algebraic unit algebraic integer |
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