Geodesic
Mahler Measures Close to an Integer
Canadian mathematical bulletin, Tome 45 (2002) no. 2, pp. 196-203

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DOI

We prove that the Mahler measure of an algebraic number cannot be too close to an integer, unless we have equality. The examples of certain Pisot numbers show that the respective inequality is sharp up to a constant. All cases when the measure is equal to the integer are described in terms of the minimal polynomials.
DOI : 10.4153/CMB-2002-022-8
Mots-clés : 11R04, 11R06, 11R09, 11J68, Mahler measure, PV numbers, Salem numbers 
Dubickas, Artūras. Mahler Measures Close to an Integer. Canadian mathematical bulletin, Tome 45 (2002) no. 2, pp. 196-203. doi: 10.4153/CMB-2002-022-8
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     title = {Mahler {Measures} {Close} to an {Integer}},
     journal = {Canadian mathematical bulletin},
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     year = {2002},
     volume = {45},
     number = {2},
     doi = {10.4153/CMB-2002-022-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-022-8/}
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