Geodesic
Leaping convergents of Tasoev continued fractions
Discussiones Mathematicae. General Algebra and Applications, Tome 31 (2011) no. 2, pp. 201-216

Voir la notice de l'article provenant de la source Library of Science

Denote the n-th convergent of the continued fraction by pₙ/qₙ = [a₀;a₁,...,aₙ]. We give some explicit forms of leaping convergents of Tasoev continued fractions. For instance, [0;ua,ua²,ua³,...] is one of the typical types of Tasoev continued fractions. Leaping convergents are of the form p_rn+i/q_rn+i (n=0,1,2,...) for fixed integers r ≥ 2 and 0 ≤ i ≤ r-1.
Keywords: leaping convergents, Tasoev continued fractions 
@article{DMGAA_2011_31_2_a5,
     author = {Komatsu, Takao},
     title = {Leaping convergents of {Tasoev} continued fractions},
     journal = {Discussiones Mathematicae. General Algebra and Applications},
     pages = {201--216},
     publisher = {mathdoc},
     volume = {31},
     number = {2},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DMGAA_2011_31_2_a5/}
}
TY  - JOUR
AU  - Komatsu, Takao
TI  - Leaping convergents of Tasoev continued fractions
JO  - Discussiones Mathematicae. General Algebra and Applications
PY  - 2011
SP  - 201
EP  - 216
VL  - 31
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DMGAA_2011_31_2_a5/
LA  - en
ID  - DMGAA_2011_31_2_a5
ER  - 
%0 Journal Article
%A Komatsu, Takao
%T Leaping convergents of Tasoev continued fractions
%J Discussiones Mathematicae. General Algebra and Applications
%D 2011
%P 201-216
%V 31
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DMGAA_2011_31_2_a5/
%G en
%F DMGAA_2011_31_2_a5
Komatsu, Takao. Leaping convergents of Tasoev continued fractions. Discussiones Mathematicae. General Algebra and Applications, Tome 31 (2011) no. 2, pp. 201-216. http://geodesic.mathdoc.fr/item/DMGAA_2011_31_2_a5/