On the relation between values of integer polynomials, their derivatives and metric theory of diophantine approximations

Authors:

Vasilii BERNIK, Olga KUKSO

AMS Classification:

11J83

Keywords:

integer polynomials, Lebesgue measure, simultaneous Diophantine approximations

Abstract:

The proof of recent results on metric theory of Diophantine approximations of dependent values was based on two-sided estimations of values of polynomials and their derivatives. In the paper, an analoguous fact is proved for simultaneous approximations in \mathbb{R}^2.

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Bernik&Kukso-09.pdf

Vol. 4 (12), 2009