Geodesic
Effective estimations of the measure of the sets of real numbers in which integer polynomials take small value
Dalʹnevostočnyj matematičeskij žurnal, Tome 15 (2015) no. 1, pp. 21-37

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In this paper we obtain the effective estimates in the terms of $n$ and $Q$ for the measure of the sets of real numbers with the given approximation property by algebraic numbers of degree $n$ and height bounded by $Q\in\mathbb{N}$. 
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     author = {N. V. Budarina and V. I. Bernik and F. G\"otze},
     title = {Effective estimations of the measure of the sets of real numbers in which integer polynomials take small value},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
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N. V. Budarina; V. I. Bernik; F. Götze. Effective estimations of the measure of the sets of real numbers in which integer polynomials take small value. Dalʹnevostočnyj matematičeskij žurnal, Tome 15 (2015) no. 1, pp. 21-37. http://geodesic.mathdoc.fr/item/DVMG_2015_15_1_a1/