Arithmetic diophantine approximation for continued fractions-like maps on the interval

Avraham Bourla

Research output: Contribution to journalArticlepeer-review

Abstract

We establish arithmetical properties and provide essential bounds for bi-sequences of approximation coefficients associated with the natural extension of maps, leading to continued fraction-like expansions. These maps are realized as the fractional part of Möbius transformations which carry the end points of the unit interval to zero and infinity, extending the classical regular and backwards continued fraction expansions.

Original languageEnglish
Pages (from-to)1-23
Number of pages23
JournalActa Arithmetica
Volume164
Issue number1
DOIs
StatePublished - 1 Jan 2014
Externally publishedYes

Keywords

  • Continued fractions
  • Diophantine approximation

ASJC Scopus subject areas

  • Algebra and Number Theory

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