On the pyatetskii-shapiro normality criterion for continued fractions

被引：0

作者：

I. D. Shkredov

机构：

[1] Russian Academy of Sciences,Moscow State University, Steklov Mathematical Institute

来源：

Journal of Mathematical Sciences | 2012年 / 182卷 / 4期

关键词：

Characteristic Function; Ergodic Theorem; Asymptotic Equality; Continue Fraction Expansion; Bernoulli Shift;

D O I：

10.1007/s10958-012-0761-z

中图分类号：

学科分类号：

摘要：

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.”

引用

页码：567 / 575

页数：8

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