FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2010, VOLUME 16, NUMBER 6, PAGES 177-188

On the Pyatetskii-Shapiro normality criterion for continued fractions

I. D. Shkredov

Abstract

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Analogues of the Pyatetskii-Shapiro normality criterion for continued fractions and for $f$-expandings with finite initial tiling are established, improving some results by Moshchevitin and Shkredov obtained in the 2002 paper "On Pyatetskii-Shapiro criterion of normality."

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Last modified: July 5, 2011