, Volume 67, Issue 6, pp 786-791

Rational approximations to certain numbers

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Abstract

The exact order of approximation to certain numbers by rational numbers is established. The basic tool for this purpose is an expansion in regular continued fractions. Some new such expansions are also derived.

Translated fromMatematicheskie Zametki, Vol. 67, No. 6, pp. 931–937, June, 2000.