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

• Autorzy: Avraham Bourla
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 11J70: Continued fractions and generalizations
• 11Y65: Continued fraction calculations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2014
• Tom: 164
• Numer: 1
• Strony: 1-23

Daty

wydano

2014

Twórcy

autor

Avraham Bourla

• Department of Mathematics, American University, Washington, DC 20016, U.S.A.

Identyfikatory

DOI

10.4064/aa164-1-1