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SIMULTANEOUS DIOPHANTINE APPROXIMATIONS WITH THE NON-MONOTONIC RIGHT-HAND SIDE

Abstract

In the article it is proved that the analogue of the Khinchine theorem for simultaneous approximations of the points on the plane by algebraic conjugate numbers holds without the monotonicity of the approximation function.
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ISSN 1561-8323 (Print)
ISSN 2524-2431 (Online)