On the distribution of real algebraic numbers of equal height
Dalʹnevostočnyj matematičeskij žurnal, Tome 18 (2018) no. 1, pp. 56-70

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In the paper we find the asymptotic number of algebraic numbers of fixed degree $n\ge 1$ and height $H$ lying in an interval $I\subseteq\mathbb{R}$ as $H\to\infty$.
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     author = {D. V. Koleda},
     title = {On the distribution of real algebraic numbers of equal height},
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D. V. Koleda. On the distribution of real algebraic numbers of equal height. Dalʹnevostočnyj matematičeskij žurnal, Tome 18 (2018) no. 1, pp. 56-70. http://geodesic.mathdoc.fr/item/DVMG_2018_18_1_a7/