On the equivalence relations of α-continued fractions

Hitoshi Nakada, Rie Natsui

研究成果: Article査読

2 被引用数 (Scopus)

抄録

We compare the equivalence relations on real numbers arising from having eventually agreeing α-continued fraction expansion (for each 0 ≤ α ≤ 1) with those from sharing GL(2,Z)- or SL(2,Z)-orbits. We show that the α-relation and the GL(2,Z)-relation of x are identical for any α > 0 when x is of unbounded type. On the other hand, they are not identical for x of bounded type.

本文言語English
ページ(範囲)800-815
ページ数16
ジャーナルIndagationes Mathematicae
25
4
DOI
出版ステータスPublished - 2014 6月 27

ASJC Scopus subject areas

  • 数学 (全般)

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