A first digit theorem for square-free integer powers
A first digit theorem for square-free integer powers
For any fixed integer power, it is shown that the first digits of square-free integer powers follow a generalized Benford law (GBL) with size-dependent exponent that converges asymptotically to a GBL with inverse power exponent.In particular, asymptotically as the power goes to infinity the sequences of squarefree integer powers obey …