FPM 2005, vol. 11, no. 6, pp. 15-26

FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 6, PAGES 15-26

Estimate for dispersion of lengths of continued fractions

V. A. Bykovskii

Abstract

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An estimate for dispersion of lengths of continued fractions is proved for fixed denominator. This estimate improves the trivial one by the logarithm of the denominator.

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