Geodesic
A Function From Diophantine Approximations
Publications de l'Institut Mathématique, _N_S_65 (1999) no. 79, p. 52

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Zbl

Some remarkable properties of a function defined from consideration of Diophantine approximations are established. For example, the function is continuous only at irrational points whose images are transcendental numbers, and the range of the function has Hausdorff dimension 0.
Classification : 11J70 11J82
Keywords: Continued fractions, Hausdorff dimension, transcendental numbers 
P. Shiu. A Function From Diophantine Approximations. Publications de l'Institut Mathématique, _N_S_65 (1999) no. 79, p. 52 . http://geodesic.mathdoc.fr/item/PIM_1999_N_S_65_79_a5/
@article{PIM_1999_N_S_65_79_a5,
     author = {P. Shiu},
     title = {A {Function} {From} {Diophantine} {Approximations}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {52 },
     year = {1999},
     volume = {_N_S_65},
     number = {79},
     zbl = {1006.11036},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1999_N_S_65_79_a5/}
}
TY  - JOUR
AU  - P. Shiu
TI  - A Function From Diophantine Approximations
JO  - Publications de l'Institut Mathématique
PY  - 1999
SP  - 52 
VL  - _N_S_65
IS  - 79
UR  - http://geodesic.mathdoc.fr/item/PIM_1999_N_S_65_79_a5/
LA  - en
ID  - PIM_1999_N_S_65_79_a5
ER  - 
%0 Journal Article
%A P. Shiu
%T A Function From Diophantine Approximations
%J Publications de l'Institut Mathématique
%D 1999
%P 52 
%V _N_S_65
%N 79
%U http://geodesic.mathdoc.fr/item/PIM_1999_N_S_65_79_a5/
%G en
%F PIM_1999_N_S_65_79_a5