On arithmetical nature of Tichy-Uitz's function

Details On arithmetical nature of Tichy-Uitz's function On arithmetical nature of Tichy-Uitz's function

2009-09-07

arxiv.org/abs/0909.1273v2

Mathematics

Number Theory

Scientific paper

R.F.Tichy and J.Uitz introduced a one parameter family $g_{\lambda}$,
$\lambda \in (0,1)$, of singular functions. When $\lambda=1/2$ the function
$g_{\lambda}$ coincides with the famous Minkowski question mark function. In
this paper we describe the arithmetical nature of the function $g_{\lambda}$
when $\lambda = \frac{3-\sqrt{5}}{2}$.

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