On the pyatetskii-shapiro normality criterion for continued fractions

On the pyatetskii-shapiro normality criterion for continued fractions

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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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2012-04, Vol.182 (4), p.567-575
1. Verfasser: Shkredov, I. D.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung: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.”
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-012-0761-z