Geodesic
The quantity of algebraic numbers with small derivative of the minimal polynomial in a short intervals
Trudy Instituta matematiki, Tome 22 (2014) no. 2, pp. 18-31

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The real algebraic numbers $\alpha$, for which the module of minimal polynomial takes a small values are important for the problem of difference of Mahler’s and Koksma’s classification of real numbers. In this article we find the conditions for which the intervals of small length contain or don’t contain numbers $\alpha$. 
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     title = {The quantity of algebraic numbers with small derivative of the minimal polynomial in a short intervals},
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A. G. Husakova; V. I. Bernik. The quantity of algebraic numbers with small derivative of the minimal polynomial in a short intervals. Trudy Instituta matematiki, Tome 22 (2014) no. 2, pp. 18-31. http://geodesic.mathdoc.fr/item/TIMB_2014_22_2_a2/