Correction au travail "Sur la densité de certains ensembles de multiples, 1", (Acta Arith. 69 (1995), 121-152)
We fill a gap in the proof of a theorem of our paper cited in the title.
This Note completes and corrects a preceding Lincean Note by introducing through a tauberian theorem an appropriate condition which removes a counter-example provided by Dr. Zhang.