A negative order result for the exponential divisor function

In this paper we shall study the mean value of the exponential divisor function involving a negative r-th power by the convolution method. This gives a comparison with the result of Laszlo Toth. Keywords The exponential divisor function, the general divisor function, Euler product, convolution method.
[section] 1. Introduction The integer [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is called an exponential divisor of [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] if [b.sub.i] | [a.sub.i] for every i [...]