On arithmetical nature of Tichy-Uitz's function
Zhabitskaya, Elena
Funct. Approx. Comment. Math., Tome 42 (2010) no. 1, p. 15-22 / Harvested from Project Euclid
In [10] R.F. Tichy and J. Uitz introduced a one parameter family $g_{\lambda}$, $\lambda \in (0,1)$ of singular functions. When $\lambda=1/2$ function $g_{\lambda}$ coincides with the famous Minkowski's question mark function. In this paper we describe the arithmetical nature of function $g_{\lambda}$ when $\lambda = \frac{3-\sqrt{5}}{2}$.
Publié le : 2010-09-15
Classification:  continued fractions,  Minkowski's function,  11J70
@article{1285679142,
     author = {Zhabitskaya, Elena},
     title = {On arithmetical nature of Tichy-Uitz's function},
     journal = {Funct. Approx. Comment. Math.},
     volume = {42},
     number = {1},
     year = {2010},
     pages = { 15-22},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1285679142}
}
Zhabitskaya, Elena. On arithmetical nature of Tichy-Uitz's function. Funct. Approx. Comment. Math., Tome 42 (2010) no. 1, pp.  15-22. http://gdmltest.u-ga.fr/item/1285679142/