2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115443We note how several central results in multiplicative number theory may be rephrased naturally in terms of multiplicative functions $f$ that pretend to be another multiplicative function $g$. We formalize a `distance' which gives a measure of such {\sl pretentiousness}, and as one consequence obtain a curious inequality for the zeta-function.8 pagesNumber TheoryClassical Analysis and ODEstext