Geodesic
Complex algebraic numbers in the sets of $\mathbb{C}^2$ of small Lebesgue measure
Trudy Instituta matematiki, Tome 26 (2018) no. 1, pp. 25-30

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Algebraic numbers of degree $n$ are investigated. For any $Q \ge {Q_0}\left( n \right)$ we show lower bound for distribution of complex algebraic numbers of height less then $Q$ near a smooth curve $f(z)$. We prove that for a set of points satisfying the condition $|f(\alpha _{1})- \alpha _{2}|$ their quantity is bounded below by $c_{15}Q^{n+1- \gamma }$. 
@article{TIMB_2018_26_1_a4,
     author = {V. I. Bernik and M. A. Zhur},
     title = {Complex algebraic numbers in the sets of $\mathbb{C}^2$ of small {Lebesgue} measure},
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     publisher = {mathdoc},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMB_2018_26_1_a4/}
}
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V. I. Bernik; M. A. Zhur. Complex algebraic numbers in the sets of $\mathbb{C}^2$ of small Lebesgue measure. Trudy Instituta matematiki, Tome 26 (2018) no. 1, pp. 25-30. http://geodesic.mathdoc.fr/item/TIMB_2018_26_1_a4/