Approximations of real numbers by integer algebraic numbers with a non-monotonic right part

Author:

Natalya SHAMUKOVA

AMS Classification:

11J83

Keywords:

diophantine approximations, Lebesgue measure, monic polynomials

Abstract:

Within last five years, the full analogue of classical Khintchine theorem has been proved for integer monic polynomials. In the article, it is shown that the condition of monotonicity can be omitted in the case of convergence.

Download paper:

Shamukova-09.pdf

Vol. 4 (12), 2009