FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 6, PAGES 73-80

**Algebraic points on the plain**

V. V. Lebed

V. I. Bernik

Abstract

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The article contains 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.

Location: http://mech.math.msu.su/~fpm/eng/k05/k056/k05608h.htm

Last modified: January 13, 2006