Appendix

Abstract

Here is a theorem inspired by (Halberstam & Richert, 1971) but where we take care of the values of our multiplicative function on powers of primes as well. The reader will find in (Martin, 2002) an appendix with a similar result. Moreover, we present a completely explicit estimate, which complicates the proof somewhat. In (Cazaran & Moree, 1999), the reader will find, inter alia, a presentation of many results in the area, a somewhat different exposition as well as a modified proof: the authors achieve there a better treatment of the error term by appealing to a preliminary sieving.