Arithmetic distributions of convergents arising from Jacobi-Perron algorithm

Valérie Berthé, Hitoshi Nakada, Rie Natsui

Research output: Contribution to journalArticle

Abstract

We study the distribution modulo m of the convergents associated with the d-dimensional Jacobi-Perron algorithm for a.e. real numbers in (0, 1)d by proving the ergodicity of a skew product of the Jacobi-Perron transformation; this skew product was initially introduced in [5] for regular continued fractions.

Original languageEnglish
Pages (from-to)169-185
Number of pages17
JournalIndagationes Mathematicae
Volume17
Issue number2
DOIs
Publication statusPublished - 2006 Jun 19

ASJC Scopus subject areas

  • Mathematics(all)

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