Geodesic
A Function From Diophantine Approximations
Publications de l'Institut Mathématique, _N_S_65 (1999) no. 79, p. 52 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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 
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     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/}
}
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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/