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Algebraic points on the plane

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Abstract

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.

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Authors and Affiliations

  1. Institute of Mathematics of the Academy of Sciences of the Republic of Belarus, Belarus

    V. V. Lebed & V. I. Bernik

Authors
  1. V. V. Lebed
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  2. V. I. Bernik
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Correspondence to V. V. Lebed.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 11, No. 6, pp. 73–80, 2005.

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Lebed, V.V., Bernik, V.I. Algebraic points on the plane. J Math Sci 146, 5680–5685 (2007). https://doi.org/10.1007/s10958-007-0384-y

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  • DOI: https://doi.org/10.1007/s10958-007-0384-y

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