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September 2010 On arithmetical nature of Tichy-Uitz's function
Elena Zhabitskaya
Funct. Approx. Comment. Math. 43(1): 15-22 (September 2010). DOI: 10.7169/facm/1285679142

Abstract

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 $\lambda = \frac{3-\sqrt{5}}{2}$.

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Elena Zhabitskaya. "On arithmetical nature of Tichy-Uitz's function." Funct. Approx. Comment. Math. 43 (1) 15 - 22, September 2010. https://doi.org/10.7169/facm/1285679142

Information

Published: September 2010
First available in Project Euclid: 28 September 2010

zbMATH: 1242.11047
MathSciNet: MR2683570
Digital Object Identifier: 10.7169/facm/1285679142

Subjects:
Primary: 11J70

Keywords: continued fractions , Minkowski's function

Rights: Copyright © 2010 Adam Mickiewicz University

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Vol.43 • No. 1 • September 2010
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