Sums of Digits in q-ary Expansions

John Charles Saunders

Let $s_q(n)$ denote the sum of the digits of a number $n$ expressed in base $q$. We study here the ratio $\frac{s_q(n^{\alpha })}{s_q(n)}$ for various values of $q$ and $\alpha$. In 1978, Kenne…