Geodesic
Arithmetic diophantine approximation for continued fractions-like maps on the interval
Avraham Bourla1
1 Department of Mathematics American University Washington, DC 20016, U.S.A.
Acta Arithmetica, Tome 164 (2014) no. 1, pp. 1-23.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/aa164-1-1
Keywords: establish arithmetical properties provide essential bounds bi sequences approximation coefficients associated natural extension maps leading continued fraction like expansions these maps realized fractional part bius transformations which carry end points unit interval zero infinity extending classical regular backwards continued fraction expansions

Avraham Bourla 1

1 Department of Mathematics American University Washington, DC 20016, U.S.A. 
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Avraham Bourla. Arithmetic diophantine approximation for continued fractions-like maps on the interval. Acta Arithmetica, Tome 164 (2014) no. 1, pp. 1-23. doi : 10.4064/aa164-1-1. http://geodesic.mathdoc.fr/articles/10.4064/aa164-1-1/

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