The integer $d=\prod_{ i=1}^s p_i^{ b_i}$ is called an exponential divisor of $n=\prod_{ i=1}^s p_i^{ a_i}>1$ if $b_i \mid a_i$ for every $i\in \{ 1,2,...,s\}$. Let $\tau^{ (e)}(n)$ denote the number of exponential divisors of $n$, where $\tau^{ (e)}(1)=1$ by convention. The aim of the present paper is to establish an asymptotic formula with remainder term for the $r$-th power of the function $\tau^{ (e)}$, where $r\ge 1$ is an integer. This improves an earlier result of { \sc M. V. Subbarao} [5].
Categories: math.NT