On normal numbers for continued fractions

Cor Kraaikamp, Hitoshi Nakada

研究成果: Article査読

12 被引用数 (Scopus)

抄録

In this paper we will show that any number normal with respect to the regular continued fraction (RCF) is also normal with respect to the continued fraction from below (BCF) and the nearest integer continued fraction (NICF). Furthermore, we will show that in case of the NICF a number is normal with respect to the RCF-expansion if and only if it is NICF-normal. This can be generalized to a larger class of semi-regular continued fraction expansions.

本文言語English
ページ(範囲)1405-1421
ページ数17
ジャーナルErgodic Theory and Dynamical Systems
20
5
DOI
出版ステータスPublished - 2000 10

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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