The derivative and moment of the generalized Riesz-Nágy-Takács function.

We give the characterization of the differentiability and nondifferentiability points of a generalization of the Riesz-N'agy-Tak'acs (RNT) singular function, namely, the generalized RNT (GRNT) singular function. A particular characterization generalizes recentmultifractal and metric-number-theoretical results associated with the RNT singular function. Furthermore, we compute the moments of the GRNT singular function. [ABSTRACT FROM AUTHOR]