@article{Hürlimann_2014, title={A First Digit Theorem For Powers of Perfect Powers}, volume={5}, url={http://www.rgnpublications.com/journals/index.php/cma/article/view/253}, DOI={10.26713/cma.v5i3.253}, abstractNote={For any fixed power exponent, it is shown that the first digits of powers from perfect power numbers follow a generalized Benford law (GBL) with size-dependent exponent that converges asymptotically to a GBL with half of the inverse power exponent. In particular, asymptotically as the power goes to infinity these first digit sequences obey Benford’s law. Moreover, we show the existence of a one-parametric size-dependent exponent function that converge to these GBL’s and determine an optimal value that minimizes its deviation to two minimum estimators of the size-dependent exponent over the finite range of powers from perfect power numbers less than $10^{5m \cdot s}$, $m = 2,\ldots,6$, where $s = 1,2,3,4,5$ is a fixed power exponent.}, number={3}, journal={Communications in Mathematics and Applications}, author={Hürlimann, Werner}, year={2014}, month={Dec.}, pages={91–99} }