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Algebraic points on the plane. (English. Russian original) Zbl 1204.11120
J. Math. Sci., New York 146, No. 2, 5680-5685 (2007); translation from Fundam. Prikl. Mat. 11, No. 6, 73-80 (2005).
Summary: This article gives quantitative estimates for the measure of points $$(x, y)$$ of a given rectangle admitting the construction of polynomials $$P(t)$$ with small (with respect to the height of the polynomial) values of $$P(x)$$ and $$P(y)$$. Such estimates can be used in the problem of distribution of algebraic points on the plane.
##### MSC:
 11J83 Metric theory 11J13 Simultaneous homogeneous approximation, linear forms
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##### References:
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